6(m+3)-7m=10+m

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Solution for 6(m+3)-7m=10+m equation: 


Simplifying
6(m + 3) + -7m = 10 + m

Reorder the terms:
6(3 + m) + -7m = 10 + m
(3 * 6 + m * 6) + -7m = 10 + m
(18 + 6m) + -7m = 10 + m

Combine like terms: 6m + -7m = -1m
18 + -1m = 10 + m

Solving
18 + -1m = 10 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
18 + -1m + -1m = 10 + m + -1m

Combine like terms: -1m + -1m = -2m
18 + -2m = 10 + m + -1m

Combine like terms: m + -1m = 0
18 + -2m = 10 + 0
18 + -2m = 10

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

Combine like terms: 18 + -18 = 0
0 + -2m = 10 + -18
-2m = 10 + -18

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

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

Simplifying
m = 4

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