Simplify 6(3q−4)+18−12q−7(4q+5) .(1 point)
What’s the correct answer simplified
To simplify 6(3q−4)+18−12q−7(4q+5), we can distribute the coefficients to each term inside the parentheses.
6(3q - 4) + 18 - 12q - 7(4q + 5)
= 18q - 24 + 18 - 12q - 28q - 35
Next, we can combine like terms.
18q - 12q - 28q - 24 - 35 + 18
= (18q - 12q - 28q) + (18 - 24 - 35 + 18)
= -22q - 23
The simplified form is -22q - 23.
To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), follow these steps:
Step 1: Distribute the 6 to the terms inside the parentheses:
6 * 3q = 18q
6 * -4 = -24
Step 2: Distribute the -7 to the terms inside the parentheses:
-7 * 4q = -28q
-7 * 5 = -35
The expression now becomes:
18q - 24 + 18 - 12q - 28q - 35
Step 3: Combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35)
(-22q) + (-41)
-22q - 41
So the simplified expression is -22q - 41.
To simplify the expression 6(3q − 4) + 18 − 12q − 7(4q + 5), you need to apply the distributive property and combine like terms.
Let's break it down step by step:
1. Start with the expression: 6(3q − 4) + 18 − 12q − 7(4q + 5)
2. Apply the distributive property to both terms inside the parentheses:
6 * 3q = 18q and 6 * -4 = -24, so we get: 18q - 24 + 18 - 12q - 7(4q + 5)
3. Simplify: 18q - 24 + 18 - 12q - 7(4q + 5)
4. Apply the distributive property to the term outside the parentheses:
-7 * 4q = -28q and -7 * 5 = -35, so we get: 18q - 24 + 18 - 12q - 28q - 35
5. Combine like terms: In this case, the like terms are the ones with the same variable, q.
Combine 18q and -12q to get 6q, and combine -28q and 6q to get -22q.
Combine -24, 18, and -35 to get -41. So we have: 6q - 22q - 41
6. Simplify further: 6q - 22q is equal to -16q, so the final simplified expression is:
-16q - 41.
Therefore, the correct simplified expression for 6(3q − 4) + 18 − 12q − 7(4q + 5) is -16q - 41.