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

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


Simplifying
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 = -54m
7 + -54m = -39 + 26m + -26m

Combine like terms: 26m + -26m = 0
7 + -54m = -39 + 0
7 + -54m = -39

Add '-7' to each side of the equation.
7 + -7 + -54m = -39 + -7

Combine like terms: 7 + -7 = 0
0 + -54m = -39 + -7
-54m = -39 + -7

Combine like terms: -39 + -7 = -46
-54m = -46

Divide each side by '-54'.
m = 0.8518518519

Simplifying
m = 0.8518518519

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