2(8m+2)=3(2m-7)

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Solution for 2(8m+2)=3(2m-7) equation:


Simplifying
2(8m + 2) = 3(2m + -7)

Reorder the terms:
2(2 + 8m) = 3(2m + -7)
(2 * 2 + 8m * 2) = 3(2m + -7)
(4 + 16m) = 3(2m + -7)

Reorder the terms:
4 + 16m = 3(-7 + 2m)
4 + 16m = (-7 * 3 + 2m * 3)
4 + 16m = (-21 + 6m)

Solving
4 + 16m = -21 + 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.
4 + 16m + -6m = -21 + 6m + -6m

Combine like terms: 16m + -6m = 10m
4 + 10m = -21 + 6m + -6m

Combine like terms: 6m + -6m = 0
4 + 10m = -21 + 0
4 + 10m = -21

Add '-4' to each side of the equation.
4 + -4 + 10m = -21 + -4

Combine like terms: 4 + -4 = 0
0 + 10m = -21 + -4
10m = -21 + -4

Combine like terms: -21 + -4 = -25
10m = -25

Divide each side by '10'.
m = -2.5

Simplifying
m = -2.5

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