Question

question
write an equivalent expression by distributing the \−\ sign outside the parentheses:
6.9q - (-9r - 8)

Explanation:

Step1: Recall the distributive property for negative sign

When we have a negative sign outside parentheses, we distribute it by multiplying each term inside the parentheses by -1. So for \(-(-9r - 8)\), we multiply \(-9r\) and \(-8\) by -1.

Step2: Distribute the negative sign

Multiplying \(-9r\) by -1 gives \( (-1)\times(-9r)=9r\), and multiplying \(-8\) by -1 gives \( (-1)\times(-8) = 8\). So \(-(-9r - 8)=9r + 8\).

Step3: Combine with the remaining term

The original expression is \(6.9q-(-9r - 8)\), and after distributing the negative sign, we replace \(-(-9r - 8)\) with \(9r + 8\). So the equivalent expression is \(6.9q+9r + 8\).

Answer:

\(6.9q + 9r + 8\)