Simplify 2(3w + 9) - 14 - 6(-5w - 4)
To simplify this expression, we can use the distributive property and combine like terms.
First, let's simplify the expression inside the parentheses:
2(3w + 9) becomes 6w + 18.
Next, we can simplify the expression inside the second set of parentheses:
-6(-5w - 4) becomes +30w + 24 (minus multiplied by a minus is a positive).
Now, let's put it all together:
6w + 18 - 14 + 30w + 24
Combining like terms, we have:
6w + 30w + 18 + 24 - 14
Simplifying further:
36w + 28
So, the simplified expression is 36w + 28.
To simplify the expression 2(3w + 9) - 14 - 6(-5w - 4), you can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses:
2(3w + 9) = 6w + 18
Step 2: Distribute the -6 to the terms inside the parentheses:
-6(-5w - 4) = 30w + 24
Step 3: Combine like terms within each parentheses:
6w + 18 - 14 + 30w + 24
Step 4: Combine like terms together:
(6w + 30w) + (18 - 14 + 24)
Step 5: Simplify:
36w + 28
To simplify the given expression, follow the order of operations (PEMDAS) and simplify each term step by step.
Step 1: Distribute the multiplication.
2(3w + 9) - 14 - 6(-5w - 4)
2 * 3w + 2 * 9 - 14 - 6 * (-5w) - 6 * (-4)
6w + 18 - 14 + 30w + 24
Step 2: Combine like terms.
Remember that terms with the same variable raised to the same power can be combined.
(6w + 30w) + (18 + 24) - 14
36w + 42 - 14
Step 3: Simplify further.
36w + 28
So, the simplified form of the expression 2(3w + 9) - 14 - 6(-5w - 4) is 36w + 28.