2m-7=3(m+8)

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Solution for 2m-7=3(m+8) equation: 


Simplifying
2m + -7 = 3(m + 8)

Reorder the terms:
-7 + 2m = 3(m + 8)

Reorder the terms:
-7 + 2m = 3(8 + m)
-7 + 2m = (8 * 3 + m * 3)
-7 + 2m = (24 + 3m)

Solving
-7 + 2m = 24 + 3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-3m' to each side of the equation.
-7 + 2m + -3m = 24 + 3m + -3m

Combine like terms: 2m + -3m = -1m
-7 + -1m = 24 + 3m + -3m

Combine like terms: 3m + -3m = 0
-7 + -1m = 24 + 0
-7 + -1m = 24

Add '7' to each side of the equation.
-7 + 7 + -1m = 24 + 7

Combine like terms: -7 + 7 = 0
0 + -1m = 24 + 7
-1m = 24 + 7

Combine like terms: 24 + 7 = 31
-1m = 31

Divide each side by '-1'.
m = -31

Simplifying
m = -31

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