m(m-4)-m(m+2)=-4m-10

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Solution for m(m-4)-m(m+2)=-4m-10 equation: 


Simplifying
m(m + -4) + -1m(m + 2) = -4m + -10

Reorder the terms:
m(-4 + m) + -1m(m + 2) = -4m + -10
(-4 * m + m * m) + -1m(m + 2) = -4m + -10
(-4m + m2) + -1m(m + 2) = -4m + -10

Reorder the terms:
-4m + m2 + -1m(2 + m) = -4m + -10
-4m + m2 + (2 * -1m + m * -1m) = -4m + -10
-4m + m2 + (-2m + -1m2) = -4m + -10

Reorder the terms:
-4m + -2m + m2 + -1m2 = -4m + -10

Combine like terms: -4m + -2m = -6m
-6m + m2 + -1m2 = -4m + -10

Combine like terms: m2 + -1m2 = 0
-6m + 0 = -4m + -10
-6m = -4m + -10

Reorder the terms:
-6m = -10 + -4m

Solving
-6m = -10 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
-6m + 4m = -10 + -4m + 4m

Combine like terms: -6m + 4m = -2m
-2m = -10 + -4m + 4m

Combine like terms: -4m + 4m = 0
-2m = -10 + 0
-2m = -10

Divide each side by '-2'.
m = 5

Simplifying
m = 5

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