7m+2=8m-6

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Solution for 7m+2=8m-6 equation:


Simplifying
7m + 2 = 8m + -6

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

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

Solving
2 + 7m = -6 + 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 + 7m + -8m = -6 + 8m + -8m

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

Combine like terms: 8m + -8m = 0
2 + -1m = -6 + 0
2 + -1m = -6

Add '-2' to each side of the equation.
2 + -2 + -1m = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = -6 + -2
-1m = -6 + -2

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

Divide each side by '-1'.
m = 8

Simplifying
m = 8

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