15-(5m+8)=5+3m-14

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Solution for 15-(5m+8)=5+3m-14 equation:


Simplifying
15 + -1(5m + 8) = 5 + 3m + -14

Reorder the terms:
15 + -1(8 + 5m) = 5 + 3m + -14
15 + (8 * -1 + 5m * -1) = 5 + 3m + -14
15 + (-8 + -5m) = 5 + 3m + -14

Combine like terms: 15 + -8 = 7
7 + -5m = 5 + 3m + -14

Reorder the terms:
7 + -5m = 5 + -14 + 3m

Combine like terms: 5 + -14 = -9
7 + -5m = -9 + 3m

Solving
7 + -5m = -9 + 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 + -5m + -3m = -9 + 3m + -3m

Combine like terms: -5m + -3m = -8m
7 + -8m = -9 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + -8m = -9 + 0
7 + -8m = -9

Add '-7' to each side of the equation.
7 + -7 + -8m = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -8m = -9 + -7
-8m = -9 + -7

Combine like terms: -9 + -7 = -16
-8m = -16

Divide each side by '-8'.
m = 2

Simplifying
m = 2

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