-13=-5(1+4m)-2m

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Solution for -13=-5(1+4m)-2m equation:


Simplifying
-13 = -5(1 + 4m) + -2m
-13 = (1 * -5 + 4m * -5) + -2m
-13 = (-5 + -20m) + -2m

Combine like terms: -20m + -2m = -22m
-13 = -5 + -22m

Solving
-13 = -5 + -22m

Solving for variable 'm'.

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

Add '22m' to each side of the equation.
-13 + 22m = -5 + -22m + 22m

Combine like terms: -22m + 22m = 0
-13 + 22m = -5 + 0
-13 + 22m = -5

Add '13' to each side of the equation.
-13 + 13 + 22m = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 22m = -5 + 13
22m = -5 + 13

Combine like terms: -5 + 13 = 8
22m = 8

Divide each side by '22'.
m = 0.3636363636

Simplifying
m = 0.3636363636

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