-13=5(1+4m)-3

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Solution for -13=5(1+4m)-3 equation:


Simplifying
-13 = 5(1 + 4m) + -3
-13 = (1 * 5 + 4m * 5) + -3
-13 = (5 + 20m) + -3

Reorder the terms:
-13 = 5 + -3 + 20m

Combine like terms: 5 + -3 = 2
-13 = 2 + 20m

Solving
-13 = 2 + 20m

Solving for variable 'm'.

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

Add '-20m' to each side of the equation.
-13 + -20m = 2 + 20m + -20m

Combine like terms: 20m + -20m = 0
-13 + -20m = 2 + 0
-13 + -20m = 2

Add '13' to each side of the equation.
-13 + 13 + -20m = 2 + 13

Combine like terms: -13 + 13 = 0
0 + -20m = 2 + 13
-20m = 2 + 13

Combine like terms: 2 + 13 = 15
-20m = 15

Divide each side by '-20'.
m = -0.75

Simplifying
m = -0.75

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