3(3m+4)=6m-3

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


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

Reorder the terms:
3(4 + 3m) = 6m + -3
(4 * 3 + 3m * 3) = 6m + -3
(12 + 9m) = 6m + -3

Reorder the terms:
12 + 9m = -3 + 6m

Solving
12 + 9m = -3 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
12 + 9m + -6m = -3 + 6m + -6m

Combine like terms: 9m + -6m = 3m
12 + 3m = -3 + 6m + -6m

Combine like terms: 6m + -6m = 0
12 + 3m = -3 + 0
12 + 3m = -3

Add '-12' to each side of the equation.
12 + -12 + 3m = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 3m = -3 + -12
3m = -3 + -12

Combine like terms: -3 + -12 = -15
3m = -15

Divide each side by '3'.
m = -5

Simplifying
m = -5

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