16-(5m+8)=4+2m-17

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Solution for 16-(5m+8)=4+2m-17 equation:


Simplifying
16 + -1(5m + 8) = 4 + 2m + -17

Reorder the terms:
16 + -1(8 + 5m) = 4 + 2m + -17
16 + (8 * -1 + 5m * -1) = 4 + 2m + -17
16 + (-8 + -5m) = 4 + 2m + -17

Combine like terms: 16 + -8 = 8
8 + -5m = 4 + 2m + -17

Reorder the terms:
8 + -5m = 4 + -17 + 2m

Combine like terms: 4 + -17 = -13
8 + -5m = -13 + 2m

Solving
8 + -5m = -13 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
8 + -5m + -2m = -13 + 2m + -2m

Combine like terms: -5m + -2m = -7m
8 + -7m = -13 + 2m + -2m

Combine like terms: 2m + -2m = 0
8 + -7m = -13 + 0
8 + -7m = -13

Add '-8' to each side of the equation.
8 + -8 + -7m = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = -13 + -8
-7m = -13 + -8

Combine like terms: -13 + -8 = -21
-7m = -21

Divide each side by '-7'.
m = 3

Simplifying
m = 3

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