10-(m-6)=2(m+5)+3m

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Solution for 10-(m-6)=2(m+5)+3m equation: 


Simplifying
10 + -1(m + -6) = 2(m + 5) + 3m

Reorder the terms:
10 + -1(-6 + m) = 2(m + 5) + 3m
10 + (-6 * -1 + m * -1) = 2(m + 5) + 3m
10 + (6 + -1m) = 2(m + 5) + 3m

Combine like terms: 10 + 6 = 16
16 + -1m = 2(m + 5) + 3m

Reorder the terms:
16 + -1m = 2(5 + m) + 3m
16 + -1m = (5 * 2 + m * 2) + 3m
16 + -1m = (10 + 2m) + 3m

Combine like terms: 2m + 3m = 5m
16 + -1m = 10 + 5m

Solving
16 + -1m = 10 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
16 + -1m + -5m = 10 + 5m + -5m

Combine like terms: -1m + -5m = -6m
16 + -6m = 10 + 5m + -5m

Combine like terms: 5m + -5m = 0
16 + -6m = 10 + 0
16 + -6m = 10

Add '-16' to each side of the equation.
16 + -16 + -6m = 10 + -16

Combine like terms: 16 + -16 = 0
0 + -6m = 10 + -16
-6m = 10 + -16

Combine like terms: 10 + -16 = -6
-6m = -6

Divide each side by '-6'.
m = 1

Simplifying
m = 1

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