33-2m=-4(1-7m)+7m

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Solution for 33-2m=-4(1-7m)+7m equation:


Simplifying
33 + -2m = -4(1 + -7m) + 7m
33 + -2m = (1 * -4 + -7m * -4) + 7m
33 + -2m = (-4 + 28m) + 7m

Combine like terms: 28m + 7m = 35m
33 + -2m = -4 + 35m

Solving
33 + -2m = -4 + 35m

Solving for variable 'm'.

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

Add '-35m' to each side of the equation.
33 + -2m + -35m = -4 + 35m + -35m

Combine like terms: -2m + -35m = -37m
33 + -37m = -4 + 35m + -35m

Combine like terms: 35m + -35m = 0
33 + -37m = -4 + 0
33 + -37m = -4

Add '-33' to each side of the equation.
33 + -33 + -37m = -4 + -33

Combine like terms: 33 + -33 = 0
0 + -37m = -4 + -33
-37m = -4 + -33

Combine like terms: -4 + -33 = -37
-37m = -37

Divide each side by '-37'.
m = 1

Simplifying
m = 1

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