-7(-4m+1)=13(2m-3)

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Solution for -7(-4m+1)=13(2m-3) equation:


Simplifying
-7(-4m + 1) = 13(2m + -3)

Reorder the terms:
-7(1 + -4m) = 13(2m + -3)
(1 * -7 + -4m * -7) = 13(2m + -3)
(-7 + 28m) = 13(2m + -3)

Reorder the terms:
-7 + 28m = 13(-3 + 2m)
-7 + 28m = (-3 * 13 + 2m * 13)
-7 + 28m = (-39 + 26m)

Solving
-7 + 28m = -39 + 26m

Solving for variable 'm'.

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

Add '-26m' to each side of the equation.
-7 + 28m + -26m = -39 + 26m + -26m

Combine like terms: 28m + -26m = 2m
-7 + 2m = -39 + 26m + -26m

Combine like terms: 26m + -26m = 0
-7 + 2m = -39 + 0
-7 + 2m = -39

Add '7' to each side of the equation.
-7 + 7 + 2m = -39 + 7

Combine like terms: -7 + 7 = 0
0 + 2m = -39 + 7
2m = -39 + 7

Combine like terms: -39 + 7 = -32
2m = -32

Divide each side by '2'.
m = -16

Simplifying
m = -16

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