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

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


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

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

Solving
-21 + -3m = 10 + -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 = 10 + -2m + 2m

Combine like terms: -3m + 2m = -1m
-21 + -1m = 10 + -2m + 2m

Combine like terms: -2m + 2m = 0
-21 + -1m = 10 + 0
-21 + -1m = 10

Add '21' to each side of the equation.
-21 + 21 + -1m = 10 + 21

Combine like terms: -21 + 21 = 0
0 + -1m = 10 + 21
-1m = 10 + 21

Combine like terms: 10 + 21 = 31
-1m = 31

Divide each side by '-1'.
m = -31

Simplifying
m = -31

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