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

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


Simplifying
4(m + -7)(m + 2) = 4m(m + -4)

Reorder the terms:
4(-7 + m)(m + 2) = 4m(m + -4)

Reorder the terms:
4(-7 + m)(2 + m) = 4m(m + -4)

Multiply (-7 + m) * (2 + m)
4(-7(2 + m) + m(2 + m)) = 4m(m + -4)
4((2 * -7 + m * -7) + m(2 + m)) = 4m(m + -4)
4((-14 + -7m) + m(2 + m)) = 4m(m + -4)
4(-14 + -7m + (2 * m + m * m)) = 4m(m + -4)
4(-14 + -7m + (2m + m2)) = 4m(m + -4)

Combine like terms: -7m + 2m = -5m
4(-14 + -5m + m2) = 4m(m + -4)
(-14 * 4 + -5m * 4 + m2 * 4) = 4m(m + -4)
(-56 + -20m + 4m2) = 4m(m + -4)

Reorder the terms:
-56 + -20m + 4m2 = 4m(-4 + m)
-56 + -20m + 4m2 = (-4 * 4m + m * 4m)
-56 + -20m + 4m2 = (-16m + 4m2)

Add '-4m2' to each side of the equation.
-56 + -20m + 4m2 + -4m2 = -16m + 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
-56 + -20m + 0 = -16m + 4m2 + -4m2
-56 + -20m = -16m + 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
-56 + -20m = -16m + 0
-56 + -20m = -16m

Solving
-56 + -20m = -16m

Solving for variable 'm'.

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

Add '16m' to each side of the equation.
-56 + -20m + 16m = -16m + 16m

Combine like terms: -20m + 16m = -4m
-56 + -4m = -16m + 16m

Combine like terms: -16m + 16m = 0
-56 + -4m = 0

Add '56' to each side of the equation.
-56 + 56 + -4m = 0 + 56

Combine like terms: -56 + 56 = 0
0 + -4m = 0 + 56
-4m = 0 + 56

Combine like terms: 0 + 56 = 56
-4m = 56

Divide each side by '-4'.
m = -14

Simplifying
m = -14

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