3(m+7)=2(5-m)+6

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Solution for 3(m+7)=2(5-m)+6 equation: 


Simplifying
3(m + 7) = 2(5 + -1m) + 6

Reorder the terms:
3(7 + m) = 2(5 + -1m) + 6
(7 * 3 + m * 3) = 2(5 + -1m) + 6
(21 + 3m) = 2(5 + -1m) + 6
21 + 3m = (5 * 2 + -1m * 2) + 6
21 + 3m = (10 + -2m) + 6

Reorder the terms:
21 + 3m = 10 + 6 + -2m

Combine like terms: 10 + 6 = 16
21 + 3m = 16 + -2m

Solving
21 + 3m = 16 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
21 + 3m + 2m = 16 + -2m + 2m

Combine like terms: 3m + 2m = 5m
21 + 5m = 16 + -2m + 2m

Combine like terms: -2m + 2m = 0
21 + 5m = 16 + 0
21 + 5m = 16

Add '-21' to each side of the equation.
21 + -21 + 5m = 16 + -21

Combine like terms: 21 + -21 = 0
0 + 5m = 16 + -21
5m = 16 + -21

Combine like terms: 16 + -21 = -5
5m = -5

Divide each side by '5'.
m = -1

Simplifying
m = -1

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