4(7-5m)-5m=-38-3m

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Solution for 4(7-5m)-5m=-38-3m equation:


Simplifying
4(7 + -5m) + -5m = -38 + -3m
(7 * 4 + -5m * 4) + -5m = -38 + -3m
(28 + -20m) + -5m = -38 + -3m

Combine like terms: -20m + -5m = -25m
28 + -25m = -38 + -3m

Solving
28 + -25m = -38 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
28 + -25m + 3m = -38 + -3m + 3m

Combine like terms: -25m + 3m = -22m
28 + -22m = -38 + -3m + 3m

Combine like terms: -3m + 3m = 0
28 + -22m = -38 + 0
28 + -22m = -38

Add '-28' to each side of the equation.
28 + -28 + -22m = -38 + -28

Combine like terms: 28 + -28 = 0
0 + -22m = -38 + -28
-22m = -38 + -28

Combine like terms: -38 + -28 = -66
-22m = -66

Divide each side by '-22'.
m = 3

Simplifying
m = 3

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