2+7m=8(1+m)

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


Simplifying
2 + 7m = 8(1 + m)
2 + 7m = (1 * 8 + m * 8)
2 + 7m = (8 + 8m)

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 8 + -2

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

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

Divide each side by '-1'.
m = -6

Simplifying
m = -6

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