-5+(15m+1)=2(7m-16)-m

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Solution for -5+(15m+1)=2(7m-16)-m equation:


Simplifying
-5 + (15m + 1) = 2(7m + -16) + -1m

Reorder the terms:
-5 + (1 + 15m) = 2(7m + -16) + -1m

Remove parenthesis around (1 + 15m)
-5 + 1 + 15m = 2(7m + -16) + -1m

Combine like terms: -5 + 1 = -4
-4 + 15m = 2(7m + -16) + -1m

Reorder the terms:
-4 + 15m = 2(-16 + 7m) + -1m
-4 + 15m = (-16 * 2 + 7m * 2) + -1m
-4 + 15m = (-32 + 14m) + -1m

Combine like terms: 14m + -1m = 13m
-4 + 15m = -32 + 13m

Solving
-4 + 15m = -32 + 13m

Solving for variable 'm'.

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

Add '-13m' to each side of the equation.
-4 + 15m + -13m = -32 + 13m + -13m

Combine like terms: 15m + -13m = 2m
-4 + 2m = -32 + 13m + -13m

Combine like terms: 13m + -13m = 0
-4 + 2m = -32 + 0
-4 + 2m = -32

Add '4' to each side of the equation.
-4 + 4 + 2m = -32 + 4

Combine like terms: -4 + 4 = 0
0 + 2m = -32 + 4
2m = -32 + 4

Combine like terms: -32 + 4 = -28
2m = -28

Divide each side by '2'.
m = -14

Simplifying
m = -14

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