6(m-5)-4m=3m-37

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Solution for 6(m-5)-4m=3m-37 equation:


Simplifying
6(m + -5) + -4m = 3m + -37

Reorder the terms:
6(-5 + m) + -4m = 3m + -37
(-5 * 6 + m * 6) + -4m = 3m + -37
(-30 + 6m) + -4m = 3m + -37

Combine like terms: 6m + -4m = 2m
-30 + 2m = 3m + -37

Reorder the terms:
-30 + 2m = -37 + 3m

Solving
-30 + 2m = -37 + 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.
-30 + 2m + -3m = -37 + 3m + -3m

Combine like terms: 2m + -3m = -1m
-30 + -1m = -37 + 3m + -3m

Combine like terms: 3m + -3m = 0
-30 + -1m = -37 + 0
-30 + -1m = -37

Add '30' to each side of the equation.
-30 + 30 + -1m = -37 + 30

Combine like terms: -30 + 30 = 0
0 + -1m = -37 + 30
-1m = -37 + 30

Combine like terms: -37 + 30 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7

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