4m-6=6(m+2)+8

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Solution for 4m-6=6(m+2)+8 equation:


Simplifying
4m + -6 = 6(m + 2) + 8

Reorder the terms:
-6 + 4m = 6(m + 2) + 8

Reorder the terms:
-6 + 4m = 6(2 + m) + 8
-6 + 4m = (2 * 6 + m * 6) + 8
-6 + 4m = (12 + 6m) + 8

Reorder the terms:
-6 + 4m = 12 + 8 + 6m

Combine like terms: 12 + 8 = 20
-6 + 4m = 20 + 6m

Solving
-6 + 4m = 20 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-6 + 4m + -6m = 20 + 6m + -6m

Combine like terms: 4m + -6m = -2m
-6 + -2m = 20 + 6m + -6m

Combine like terms: 6m + -6m = 0
-6 + -2m = 20 + 0
-6 + -2m = 20

Add '6' to each side of the equation.
-6 + 6 + -2m = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -2m = 20 + 6
-2m = 20 + 6

Combine like terms: 20 + 6 = 26
-2m = 26

Divide each side by '-2'.
m = -13

Simplifying
m = -13

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