4(2+3m)-7=7(2+3m)+8

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Solution for 4(2+3m)-7=7(2+3m)+8 equation: 


Simplifying
4(2 + 3m) + -7 = 7(2 + 3m) + 8
(2 * 4 + 3m * 4) + -7 = 7(2 + 3m) + 8
(8 + 12m) + -7 = 7(2 + 3m) + 8

Reorder the terms:
8 + -7 + 12m = 7(2 + 3m) + 8

Combine like terms: 8 + -7 = 1
1 + 12m = 7(2 + 3m) + 8
1 + 12m = (2 * 7 + 3m * 7) + 8
1 + 12m = (14 + 21m) + 8

Reorder the terms:
1 + 12m = 14 + 8 + 21m

Combine like terms: 14 + 8 = 22
1 + 12m = 22 + 21m

Solving
1 + 12m = 22 + 21m

Solving for variable 'm'.

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

Add '-21m' to each side of the equation.
1 + 12m + -21m = 22 + 21m + -21m

Combine like terms: 12m + -21m = -9m
1 + -9m = 22 + 21m + -21m

Combine like terms: 21m + -21m = 0
1 + -9m = 22 + 0
1 + -9m = 22

Add '-1' to each side of the equation.
1 + -1 + -9m = 22 + -1

Combine like terms: 1 + -1 = 0
0 + -9m = 22 + -1
-9m = 22 + -1

Combine like terms: 22 + -1 = 21
-9m = 21

Divide each side by '-9'.
m = -2.333333333

Simplifying
m = -2.333333333

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