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

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Solution for 7(m+3)-5(2-m)=-1 equation: 


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

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

Reorder the terms:
21 + -10 + 7m + 5m = -1

Combine like terms: 21 + -10 = 11
11 + 7m + 5m = -1

Combine like terms: 7m + 5m = 12m
11 + 12m = -1

Solving
11 + 12m = -1

Solving for variable 'm'.

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

Add '-11' to each side of the equation.
11 + -11 + 12m = -1 + -11

Combine like terms: 11 + -11 = 0
0 + 12m = -1 + -11
12m = -1 + -11

Combine like terms: -1 + -11 = -12
12m = -12

Divide each side by '12'.
m = -1

Simplifying
m = -1

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