Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 18, 2023

Solve for $m$ in the equation $11m + 4m + 2m = -17$ .

STEP 1

Assumptions
1. We are given a linear equation in one variable $m$ .
2. We need to solve for the value of $m$ .

STEP 2

Combine like terms on the left side of the equation to simplify the equation.
$11m + 4m + 2m = -17$

STEP 3

Add the coefficients of $m$ together.
$(11 + 4 + 2)m = -17$

STEP 4

Calculate the sum of the coefficients.
$17m = -17$

STEP 5

Divide both sides of the equation by the coefficient of $m$ to solve for $m$ .
$\frac{17m}{17} = \frac{-17}{17}$

STEP 6

Simplify both sides of the equation.
$m = -1$
The solution for $m$ is $-1$ .

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