Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify the expression: 3r + -3r - 7r + -9r - 1

Question

simplify the expression:
3r + -3r - 7r + -9r - 1

Explanation:

Step1: Combine like terms for \( r \)

First, identify the terms with \( r \): \( 3r \), \( -3r \), \( -7r \), \( -9r \).
Combine them: \( 3r - 3r - 7r - 9r=(3 - 3 - 7 - 9)r \).
Calculate the coefficient: \( 3 - 3 = 0 \), \( 0 - 7=-7 \), \( -7 - 9 = -16 \). So the \( r \) terms simplify to \( -16r \).

Step2: Include the constant term

The constant term is \( -1 \). So the simplified expression is \( -16r - 1 \).

Answer:

\( -16r - 1 \)