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 = -10
12m = -10

Divide each side by '12'.
m = -0.8333333333

Simplifying
m = -0.8333333333

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