3(7-m)=-8(6+5m)-5

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Solution for 3(7-m)=-8(6+5m)-5 equation: 


Simplifying
3(7 + -1m) = -8(6 + 5m) + -5
(7 * 3 + -1m * 3) = -8(6 + 5m) + -5
(21 + -3m) = -8(6 + 5m) + -5
21 + -3m = (6 * -8 + 5m * -8) + -5
21 + -3m = (-48 + -40m) + -5

Reorder the terms:
21 + -3m = -48 + -5 + -40m

Combine like terms: -48 + -5 = -53
21 + -3m = -53 + -40m

Solving
21 + -3m = -53 + -40m

Solving for variable 'm'.

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

Add '40m' to each side of the equation.
21 + -3m + 40m = -53 + -40m + 40m

Combine like terms: -3m + 40m = 37m
21 + 37m = -53 + -40m + 40m

Combine like terms: -40m + 40m = 0
21 + 37m = -53 + 0
21 + 37m = -53

Add '-21' to each side of the equation.
21 + -21 + 37m = -53 + -21

Combine like terms: 21 + -21 = 0
0 + 37m = -53 + -21
37m = -53 + -21

Combine like terms: -53 + -21 = -74
37m = -74

Divide each side by '37'.
m = -2

Simplifying
m = -2

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