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

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Solution for 13(m+2)=-3(m+7)-1 equation: 


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

Reorder the terms:
13(2 + m) = -3(m + 7) + -1
(2 * 13 + m * 13) = -3(m + 7) + -1
(26 + 13m) = -3(m + 7) + -1

Reorder the terms:
26 + 13m = -3(7 + m) + -1
26 + 13m = (7 * -3 + m * -3) + -1
26 + 13m = (-21 + -3m) + -1

Reorder the terms:
26 + 13m = -21 + -1 + -3m

Combine like terms: -21 + -1 = -22
26 + 13m = -22 + -3m

Solving
26 + 13m = -22 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
26 + 13m + 3m = -22 + -3m + 3m

Combine like terms: 13m + 3m = 16m
26 + 16m = -22 + -3m + 3m

Combine like terms: -3m + 3m = 0
26 + 16m = -22 + 0
26 + 16m = -22

Add '-26' to each side of the equation.
26 + -26 + 16m = -22 + -26

Combine like terms: 26 + -26 = 0
0 + 16m = -22 + -26
16m = -22 + -26

Combine like terms: -22 + -26 = -48
16m = -48

Divide each side by '16'.
m = -3

Simplifying
m = -3

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