Which value of m is the solution to the equation below? 6m - 12 = 2m + 16 — Armed Services Vocational Aptitude Battery (ASVAB)

Which value of $m$ is the solution to the equation below?

6m - 12 = 2m + 16

The correct solution is

7

By subtracting

2m

from both sides and then adding 12 to both sides, the equation simplifies to

4m = 28

. Dividing by 4 gives the correct result of

7

Subtract

2m

from both sides of the equation to group the variable terms on the left side.

4m - 12 = 16

This keeps all instances of the unknown variable

m

on one side.

Add 12 to both sides of the equation to isolate the variable term.

4m = 28

This cancels out the constant on the left side, leaving only the term with

m

Divide both sides by 4 to solve for

m

m = 7

This removes the coefficient, revealing the final value of the variable.

Solving One-Variable Linear Equations

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