4(5-2m)=-6(3m+8)+13

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Solution for 4(5-2m)=-6(3m+8)+13 equation: 


Simplifying
4(5 + -2m) = -6(3m + 8) + 13
(5 * 4 + -2m * 4) = -6(3m + 8) + 13
(20 + -8m) = -6(3m + 8) + 13

Reorder the terms:
20 + -8m = -6(8 + 3m) + 13
20 + -8m = (8 * -6 + 3m * -6) + 13
20 + -8m = (-48 + -18m) + 13

Reorder the terms:
20 + -8m = -48 + 13 + -18m

Combine like terms: -48 + 13 = -35
20 + -8m = -35 + -18m

Solving
20 + -8m = -35 + -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.
20 + -8m + 18m = -35 + -18m + 18m

Combine like terms: -8m + 18m = 10m
20 + 10m = -35 + -18m + 18m

Combine like terms: -18m + 18m = 0
20 + 10m = -35 + 0
20 + 10m = -35

Add '-20' to each side of the equation.
20 + -20 + 10m = -35 + -20

Combine like terms: 20 + -20 = 0
0 + 10m = -35 + -20
10m = -35 + -20

Combine like terms: -35 + -20 = -55
10m = -55

Divide each side by '10'.
m = -5.5

Simplifying
m = -5.5

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