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 = 18m
13 = 5 + 18m

Solving
13 = 5 + 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
13 + -18m = 5 + 18m + -18m

Combine like terms: 18m + -18m = 0
13 + -18m = 5 + 0
13 + -18m = 5

Add '-13' to each side of the equation.
13 + -13 + -18m = 5 + -13

Combine like terms: 13 + -13 = 0
0 + -18m = 5 + -13
-18m = 5 + -13

Combine like terms: 5 + -13 = -8
-18m = -8

Divide each side by '-18'.
m = 0.4444444444

Simplifying
m = 0.4444444444

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