6m-3(m-2)=6(m+3)-4

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Solution for 6m-3(m-2)=6(m+3)-4 equation:


Simplifying
6m + -3(m + -2) = 6(m + 3) + -4

Reorder the terms:
6m + -3(-2 + m) = 6(m + 3) + -4
6m + (-2 * -3 + m * -3) = 6(m + 3) + -4
6m + (6 + -3m) = 6(m + 3) + -4

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

Combine like terms: 6m + -3m = 3m
6 + 3m = 6(m + 3) + -4

Reorder the terms:
6 + 3m = 6(3 + m) + -4
6 + 3m = (3 * 6 + m * 6) + -4
6 + 3m = (18 + 6m) + -4

Reorder the terms:
6 + 3m = 18 + -4 + 6m

Combine like terms: 18 + -4 = 14
6 + 3m = 14 + 6m

Solving
6 + 3m = 14 + 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.
6 + 3m + -6m = 14 + 6m + -6m

Combine like terms: 3m + -6m = -3m
6 + -3m = 14 + 6m + -6m

Combine like terms: 6m + -6m = 0
6 + -3m = 14 + 0
6 + -3m = 14

Add '-6' to each side of the equation.
6 + -6 + -3m = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -3m = 14 + -6
-3m = 14 + -6

Combine like terms: 14 + -6 = 8
-3m = 8

Divide each side by '-3'.
m = -2.666666667

Simplifying
m = -2.666666667

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