2(5m-1)+4=2m+3(2m+6)

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Solution for 2(5m-1)+4=2m+3(2m+6) equation: 


Simplifying
2(5m + -1) + 4 = 2m + 3(2m + 6)

Reorder the terms:
2(-1 + 5m) + 4 = 2m + 3(2m + 6)
(-1 * 2 + 5m * 2) + 4 = 2m + 3(2m + 6)
(-2 + 10m) + 4 = 2m + 3(2m + 6)

Reorder the terms:
-2 + 4 + 10m = 2m + 3(2m + 6)

Combine like terms: -2 + 4 = 2
2 + 10m = 2m + 3(2m + 6)

Reorder the terms:
2 + 10m = 2m + 3(6 + 2m)
2 + 10m = 2m + (6 * 3 + 2m * 3)
2 + 10m = 2m + (18 + 6m)

Reorder the terms:
2 + 10m = 18 + 2m + 6m

Combine like terms: 2m + 6m = 8m
2 + 10m = 18 + 8m

Solving
2 + 10m = 18 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
2 + 10m + -8m = 18 + 8m + -8m

Combine like terms: 10m + -8m = 2m
2 + 2m = 18 + 8m + -8m

Combine like terms: 8m + -8m = 0
2 + 2m = 18 + 0
2 + 2m = 18

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

Combine like terms: 2 + -2 = 0
0 + 2m = 18 + -2
2m = 18 + -2

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

Divide each side by '2'.
m = 8

Simplifying
m = 8

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