(3m-2)(m-2)=m(3m-8)+3m

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Solution for (3m-2)(m-2)=m(3m-8)+3m equation: 


Simplifying
(3m + -2)(m + -2) = m(3m + -8) + 3m

Reorder the terms:
(-2 + 3m)(m + -2) = m(3m + -8) + 3m

Reorder the terms:
(-2 + 3m)(-2 + m) = m(3m + -8) + 3m

Multiply (-2 + 3m) * (-2 + m)
(-2(-2 + m) + 3m * (-2 + m)) = m(3m + -8) + 3m
((-2 * -2 + m * -2) + 3m * (-2 + m)) = m(3m + -8) + 3m
((4 + -2m) + 3m * (-2 + m)) = m(3m + -8) + 3m
(4 + -2m + (-2 * 3m + m * 3m)) = m(3m + -8) + 3m
(4 + -2m + (-6m + 3m2)) = m(3m + -8) + 3m

Combine like terms: -2m + -6m = -8m
(4 + -8m + 3m2) = m(3m + -8) + 3m

Reorder the terms:
4 + -8m + 3m2 = m(-8 + 3m) + 3m
4 + -8m + 3m2 = (-8 * m + 3m * m) + 3m
4 + -8m + 3m2 = (-8m + 3m2) + 3m

Reorder the terms:
4 + -8m + 3m2 = -8m + 3m + 3m2

Combine like terms: -8m + 3m = -5m
4 + -8m + 3m2 = -5m + 3m2

Add '-3m2' to each side of the equation.
4 + -8m + 3m2 + -3m2 = -5m + 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
4 + -8m + 0 = -5m + 3m2 + -3m2
4 + -8m = -5m + 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
4 + -8m = -5m + 0
4 + -8m = -5m

Solving
4 + -8m = -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
4 + -8m + 5m = -5m + 5m

Combine like terms: -8m + 5m = -3m
4 + -3m = -5m + 5m

Combine like terms: -5m + 5m = 0
4 + -3m = 0

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333

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