2(6m-1)+5=14m-11

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Solution for 2(6m-1)+5=14m-11 equation:


Simplifying
2(6m + -1) + 5 = 14m + -11

Reorder the terms:
2(-1 + 6m) + 5 = 14m + -11
(-1 * 2 + 6m * 2) + 5 = 14m + -11
(-2 + 12m) + 5 = 14m + -11

Reorder the terms:
-2 + 5 + 12m = 14m + -11

Combine like terms: -2 + 5 = 3
3 + 12m = 14m + -11

Reorder the terms:
3 + 12m = -11 + 14m

Solving
3 + 12m = -11 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
3 + 12m + -14m = -11 + 14m + -14m

Combine like terms: 12m + -14m = -2m
3 + -2m = -11 + 14m + -14m

Combine like terms: 14m + -14m = 0
3 + -2m = -11 + 0
3 + -2m = -11

Add '-3' to each side of the equation.
3 + -3 + -2m = -11 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = -11 + -3
-2m = -11 + -3

Combine like terms: -11 + -3 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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