2(6m+1)=4(m-5)-2

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Solution for 2(6m+1)=4(m-5)-2 equation:


Simplifying
2(6m + 1) = 4(m + -5) + -2

Reorder the terms:
2(1 + 6m) = 4(m + -5) + -2
(1 * 2 + 6m * 2) = 4(m + -5) + -2
(2 + 12m) = 4(m + -5) + -2

Reorder the terms:
2 + 12m = 4(-5 + m) + -2
2 + 12m = (-5 * 4 + m * 4) + -2
2 + 12m = (-20 + 4m) + -2

Reorder the terms:
2 + 12m = -20 + -2 + 4m

Combine like terms: -20 + -2 = -22
2 + 12m = -22 + 4m

Solving
2 + 12m = -22 + 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.
2 + 12m + -4m = -22 + 4m + -4m

Combine like terms: 12m + -4m = 8m
2 + 8m = -22 + 4m + -4m

Combine like terms: 4m + -4m = 0
2 + 8m = -22 + 0
2 + 8m = -22

Add '-2' to each side of the equation.
2 + -2 + 8m = -22 + -2

Combine like terms: 2 + -2 = 0
0 + 8m = -22 + -2
8m = -22 + -2

Combine like terms: -22 + -2 = -24
8m = -24

Divide each side by '8'.
m = -3

Simplifying
m = -3

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