4(3+m)-2=6m+22

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Solution for 4(3+m)-2=6m+22 equation: 


Simplifying
4(3 + m) + -2 = 6m + 22
(3 * 4 + m * 4) + -2 = 6m + 22
(12 + 4m) + -2 = 6m + 22

Reorder the terms:
12 + -2 + 4m = 6m + 22

Combine like terms: 12 + -2 = 10
10 + 4m = 6m + 22

Reorder the terms:
10 + 4m = 22 + 6m

Solving
10 + 4m = 22 + 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.
10 + 4m + -6m = 22 + 6m + -6m

Combine like terms: 4m + -6m = -2m
10 + -2m = 22 + 6m + -6m

Combine like terms: 6m + -6m = 0
10 + -2m = 22 + 0
10 + -2m = 22

Add '-10' to each side of the equation.
10 + -10 + -2m = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -2m = 22 + -10
-2m = 22 + -10

Combine like terms: 22 + -10 = 12
-2m = 12

Divide each side by '-2'.
m = -6

Simplifying
m = -6

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