2(3m-1)+3=8m-7

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Solution for 2(3m-1)+3=8m-7 equation: 


Simplifying
2(3m + -1) + 3 = 8m + -7

Reorder the terms:
2(-1 + 3m) + 3 = 8m + -7
(-1 * 2 + 3m * 2) + 3 = 8m + -7
(-2 + 6m) + 3 = 8m + -7

Reorder the terms:
-2 + 3 + 6m = 8m + -7

Combine like terms: -2 + 3 = 1
1 + 6m = 8m + -7

Reorder the terms:
1 + 6m = -7 + 8m

Solving
1 + 6m = -7 + 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.
1 + 6m + -8m = -7 + 8m + -8m

Combine like terms: 6m + -8m = -2m
1 + -2m = -7 + 8m + -8m

Combine like terms: 8m + -8m = 0
1 + -2m = -7 + 0
1 + -2m = -7

Add '-1' to each side of the equation.
1 + -1 + -2m = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = -7 + -1
-2m = -7 + -1

Combine like terms: -7 + -1 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4

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