-14m+10=-9(5m-20)+16

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Solution for -14m+10=-9(5m-20)+16 equation: 


Simplifying
-14m + 10 = -9(5m + -20) + 16

Reorder the terms:
10 + -14m = -9(5m + -20) + 16

Reorder the terms:
10 + -14m = -9(-20 + 5m) + 16
10 + -14m = (-20 * -9 + 5m * -9) + 16
10 + -14m = (180 + -45m) + 16

Reorder the terms:
10 + -14m = 180 + 16 + -45m

Combine like terms: 180 + 16 = 196
10 + -14m = 196 + -45m

Solving
10 + -14m = 196 + -45m

Solving for variable 'm'.

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

Add '45m' to each side of the equation.
10 + -14m + 45m = 196 + -45m + 45m

Combine like terms: -14m + 45m = 31m
10 + 31m = 196 + -45m + 45m

Combine like terms: -45m + 45m = 0
10 + 31m = 196 + 0
10 + 31m = 196

Add '-10' to each side of the equation.
10 + -10 + 31m = 196 + -10

Combine like terms: 10 + -10 = 0
0 + 31m = 196 + -10
31m = 196 + -10

Combine like terms: 196 + -10 = 186
31m = 186

Divide each side by '31'.
m = 6

Simplifying
m = 6

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