Solve for m. -8 - 5m = -3m + 6 m = ____

Move terms and constants: First, we want to get all the terms with m on one side of the equation and the constant terms on the other side. We can do this by adding 5m to both sides of the equation to move the m terms to the right side and adding 8 to both sides to move the constant terms to the left side. -8 - 5m + 5m = -3m + 6 + 5m -8 + 8 = -3m + 5m + 6 + 8Combine like terms: Now, we simplify both sides of the equation by combining like terms. 0 = 2m + 14Isolate m: Next, we isolate m by subtracting 14 from both sides of the equation. 0 - 14 = 2m + 14 - 14 -14 = 2mSolve for m: Finally, we solve for m by dividing both sides of the equation by 2. -14 / 2 = 2m / 2 m = -7

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Solve for $m$ . $\newline$ $-8 - 5m = -3m + 6$ $\newline$ $m =$ __

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

m

\newline

-8 - 5m = -3m + 6

\newline

m =

Move terms and constants: First, we want to get all the terms with $m$ on one side of the equation and the constant terms on the other side. We can do this by adding $5m$ to both sides of the equation to move the $m$ terms to the right side and adding $8$ to both sides to move the constant terms to the left side. $\newline$ $-8 - 5m + 5m = -3m + 6 + 5m$ $\newline$ $-8 + 8 = -3m + 5m + 6 + 8$
Combine like terms: Now, we simplify both sides of the equation by combining like terms. $\newline$ $0 = 2m + 14$
Isolate $m$ : Next, we isolate $m$ by subtracting $14$ from both sides of the equation. $\newline$ $0 - 14 = 2m + 14 - 14$ $\newline$ $-14 = 2m$
Solve for m: Finally, we solve for $m$ by dividing both sides of the equation by $2$ . $\newline$ $-\frac{14}{2} = \frac{2m}{2}$ $\newline$ m = $-7$