Simplify −4(7b+3)+24b−8 .
−4(7b+3)+24b−8 = −28b - 12 + 24b - 8 = -4b - 20. Answer: \boxed{-4b-20}.
To simplify the expression −4(7b+3)+24b−8, we will apply the distributive property first.
Step 1: Multiply -4 by both terms inside the parentheses.
-4 * 7b = -28b
-4 * 3 = -12
The expression becomes:
-28b - 12 + 24b - 8
Step 2: Combine like terms, which are the terms with the same variable and exponent.
The expression becomes:
(-28b + 24b) + (-12 - 8)
Simplifying the expression in the parentheses:
(-4b) + (-20)
Step 3: Combine like terms again.
-4b - 20
The simplified expression is -4b - 20.
To simplify the expression −4(7b+3)+24b−8, we can follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Apply the distributive property
Start by distributing the -4 to the terms inside the parentheses:
−4(7b+3) = −28b − 12
Step 2: Combine like terms
Combine the like terms (-28b and 24b) together:
(-28b + 24b) = -4b
Step 3: Combine the constants
Combine the constants (-12 and -8) together:
(-12 - 8) = -20
The simplified expression is -4b - 20.