6(3m-2)=2(2m+1)

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Solution for 6(3m-2)=2(2m+1) equation:


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

Reorder the terms:
6(-2 + 3m) = 2(2m + 1)
(-2 * 6 + 3m * 6) = 2(2m + 1)
(-12 + 18m) = 2(2m + 1)

Reorder the terms:
-12 + 18m = 2(1 + 2m)
-12 + 18m = (1 * 2 + 2m * 2)
-12 + 18m = (2 + 4m)

Solving
-12 + 18m = 2 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-12 + 18m + -4m = 2 + 4m + -4m

Combine like terms: 18m + -4m = 14m
-12 + 14m = 2 + 4m + -4m

Combine like terms: 4m + -4m = 0
-12 + 14m = 2 + 0
-12 + 14m = 2

Add '12' to each side of the equation.
-12 + 12 + 14m = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 14m = 2 + 12
14m = 2 + 12

Combine like terms: 2 + 12 = 14
14m = 14

Divide each side by '14'.
m = 1

Simplifying
m = 1

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