Simplify 5(7x - 2 ) - 14x + 4
To simplify the expression 5(7x - 2) - 14x + 4, you distribute the 5 to the terms inside the parentheses:
5 * 7x = 35x
5 * -2 = -10
So the expression becomes:
35x - 10 - 14x + 4
Next, combine like terms, which means adding or subtracting terms with the same variable:
(35x - 14x) + (-10 + 4)
Simplifying inside the parentheses:
21x + (-6)
When adding a positive and negative number, subtract their absolute values and use the sign of the bigger number. So -6 simplifies to just -6:
21x - 6
Therefore, the simplified expression is 21x - 6.
Simplify 17d - 33 + 9 (2d+6)- 11
To simplify the expression 17d - 33 + 9 (2d+6) - 11, we first distribute the 9 to the terms inside the parentheses:
9 * 2d = 18d
9 * 6 = 54
So the expression becomes:
17d - 33 + 18d + 54 - 11
Next, combine like terms, which means adding or subtracting terms with the same variable:
(17d + 18d) + (-33 + 54 - 11)
Simplifying inside the parentheses:
35d + 10
Therefore, the simplified expression is 35d + 10.
Simplify 6 (3q-4)+18-12q- 7 (4q+5)
To simplify the expression 6(3q-4)+18-12q-7(4q+5), we first distribute the 6 and the -7 to the terms inside the parentheses:
6 * 3q = 18q
6 * -4 = -24
-7 * 4q = -28q
-7 * 5 = -35
So the expression becomes:
18q - 24 + 18 - 12q - 28q - 35
Next, combine like terms, which means adding or subtracting terms with the same variable:
(18q - 12q - 28q) + (-24 + 18 - 35)
Simplifying inside the parentheses:
-22q - 41
Therefore, the simplified expression is -22q - 41.
-5 + 3/4 (8H plus 12)-10h
To simplify the expression -5 + 3/4 (8H + 12) - 10H, we first distribute the 3/4 to the terms inside the parentheses:
3/4 * 8H = 6H
3/4 * 12 = 9
So the expression becomes:
-5 + 6H + 9 - 10H
Next, combine like terms, which means adding or subtracting terms with the same variable:
(6H - 10H) + (-5 + 9)
Simplifying inside the parentheses:
-4H + 4
Therefore, the simplified expression is -4H + 4.
Factor 24 n - 32 using the GCF
To factor the expression 24n - 32 using the Greatest Common Factor (GCF), we first need to determine the GCF of the terms 24n and 32.
The prime factors of 24 are 2, 2, 2, and 3.
The prime factors of 32 are 2, 2, 2, 2, and 2.
From these prime factors, we can see that the common factor between 24n and 32 is 2.
To factor 24n - 32 using the GCF, we can write it as:
2 * (12n - 16)
Therefore, the factored form of 24n - 32 using the GCF is 2(12n - 16).
To simplify the given expression, follow the order of operations (PEMDAS/BODMAS) to perform the operations in the correct order. Here's how you can simplify the expression step by step:
1. Start by multiplying 5 with each term inside the parentheses:
5 * 7x = 35x
5 * (-2) = -10
The expression now becomes:
35x - 10 - 14x + 4
2. Next, combine the like terms. In this case, combine the terms with 'x' and the numerical terms:
(35x - 14x) = 21x (Adding the coefficients of 'x')
(-10 + 4) = -6 (Adding the constants)
The expression simplifies to:
21x - 6
Therefore, the simplified form of the expression 5(7x - 2) - 14x + 4 is 21x - 6.