6m-4(6m-4)=26-8(2m-12)

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Solution for 6m-4(6m-4)=26-8(2m-12) equation:


Simplifying
6m + -4(6m + -4) = 26 + -8(2m + -12)

Reorder the terms:
6m + -4(-4 + 6m) = 26 + -8(2m + -12)
6m + (-4 * -4 + 6m * -4) = 26 + -8(2m + -12)
6m + (16 + -24m) = 26 + -8(2m + -12)

Reorder the terms:
16 + 6m + -24m = 26 + -8(2m + -12)

Combine like terms: 6m + -24m = -18m
16 + -18m = 26 + -8(2m + -12)

Reorder the terms:
16 + -18m = 26 + -8(-12 + 2m)
16 + -18m = 26 + (-12 * -8 + 2m * -8)
16 + -18m = 26 + (96 + -16m)

Combine like terms: 26 + 96 = 122
16 + -18m = 122 + -16m

Solving
16 + -18m = 122 + -16m

Solving for variable 'm'.

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

Add '16m' to each side of the equation.
16 + -18m + 16m = 122 + -16m + 16m

Combine like terms: -18m + 16m = -2m
16 + -2m = 122 + -16m + 16m

Combine like terms: -16m + 16m = 0
16 + -2m = 122 + 0
16 + -2m = 122

Add '-16' to each side of the equation.
16 + -16 + -2m = 122 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = 122 + -16
-2m = 122 + -16

Combine like terms: 122 + -16 = 106
-2m = 106

Divide each side by '-2'.
m = -53

Simplifying
m = -53

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