Questions: - [4 - 6(q + 5) + q]

Transcript text: plify by combining like terms. \[ -[4-6(q+5)+q] \]

Solution

Solution Steps

To simplify the expression by combining like terms, first distribute the negative sign across the terms inside the brackets. Then, distribute the negative sign across the terms inside the parentheses. Finally, combine like terms to simplify the expression.

Step 1: Distribute the Negative Sign

First, distribute the negative sign across the terms inside the brackets: \[ -[4 - 6(q + 5) + q] = -4 + 6(q + 5) - q \]

Step 2: Distribute Inside the Parentheses

Next, distribute the \(6\) across the terms inside the parentheses: \[ 6(q + 5) = 6q + 30 \]

Step 3: Substitute and Simplify

Substitute back into the expression and combine like terms: \[ -4 + 6q + 30 - q = 5q + 26 \]