Question

simplify the expression:
2g - 8g + -g + 3g

Explanation:

Step1: Combine like terms

First, identify the coefficients of the like terms (terms with the variable \( g \)). The terms are \( 2g \), \( -8g \), \( -g \) (which is \( -1g \)), and \( 3g \).
So we add the coefficients: \( 2 - 8 - 1 + 3 \).

Step2: Calculate the sum of coefficients

Calculate \( 2 - 8 = -6 \), then \( -6 - 1 = -7 \), then \( -7 + 3 = -4 \).

Step3: Multiply by the variable

Since the variable is \( g \), we multiply the sum of the coefficients by \( g \), so we get \( -4g \).

Answer:

\( -4g \)