6(6+9m)+7m=10(12m-2)-3

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Solution for 6(6+9m)+7m=10(12m-2)-3 equation:


Simplifying
6(6 + 9m) + 7m = 10(12m + -2) + -3
(6 * 6 + 9m * 6) + 7m = 10(12m + -2) + -3
(36 + 54m) + 7m = 10(12m + -2) + -3

Combine like terms: 54m + 7m = 61m
36 + 61m = 10(12m + -2) + -3

Reorder the terms:
36 + 61m = 10(-2 + 12m) + -3
36 + 61m = (-2 * 10 + 12m * 10) + -3
36 + 61m = (-20 + 120m) + -3

Reorder the terms:
36 + 61m = -20 + -3 + 120m

Combine like terms: -20 + -3 = -23
36 + 61m = -23 + 120m

Solving
36 + 61m = -23 + 120m

Solving for variable 'm'.

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

Add '-120m' to each side of the equation.
36 + 61m + -120m = -23 + 120m + -120m

Combine like terms: 61m + -120m = -59m
36 + -59m = -23 + 120m + -120m

Combine like terms: 120m + -120m = 0
36 + -59m = -23 + 0
36 + -59m = -23

Add '-36' to each side of the equation.
36 + -36 + -59m = -23 + -36

Combine like terms: 36 + -36 = 0
0 + -59m = -23 + -36
-59m = -23 + -36

Combine like terms: -23 + -36 = -59
-59m = -59

Divide each side by '-59'.
m = 1

Simplifying
m = 1

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