2(5m+3m)-4(3m-3)=m(m-8)-m(m+7)

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Solution for 2(5m+3m)-4(3m-3)=m(m-8)-m(m+7) equation:


Simplifying
2(5m + 3m) + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Combine like terms: 5m + 3m = 8m
2(8m) + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Remove parenthesis around (8m)
2 * 8m + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Multiply 2 * 8
16m + -4(3m + -3) = m(m + -8) + -1m(m + 7)

Reorder the terms:
16m + -4(-3 + 3m) = m(m + -8) + -1m(m + 7)
16m + (-3 * -4 + 3m * -4) = m(m + -8) + -1m(m + 7)
16m + (12 + -12m) = m(m + -8) + -1m(m + 7)

Reorder the terms:
12 + 16m + -12m = m(m + -8) + -1m(m + 7)

Combine like terms: 16m + -12m = 4m
12 + 4m = m(m + -8) + -1m(m + 7)

Reorder the terms:
12 + 4m = m(-8 + m) + -1m(m + 7)
12 + 4m = (-8 * m + m * m) + -1m(m + 7)
12 + 4m = (-8m + m2) + -1m(m + 7)

Reorder the terms:
12 + 4m = -8m + m2 + -1m(7 + m)
12 + 4m = -8m + m2 + (7 * -1m + m * -1m)
12 + 4m = -8m + m2 + (-7m + -1m2)

Reorder the terms:
12 + 4m = -8m + -7m + m2 + -1m2

Combine like terms: -8m + -7m = -15m
12 + 4m = -15m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
12 + 4m = -15m + 0
12 + 4m = -15m

Solving
12 + 4m = -15m

Solving for variable 'm'.

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

Add '15m' to each side of the equation.
12 + 4m + 15m = -15m + 15m

Combine like terms: 4m + 15m = 19m
12 + 19m = -15m + 15m

Combine like terms: -15m + 15m = 0
12 + 19m = 0

Add '-12' to each side of the equation.
12 + -12 + 19m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 19m = 0 + -12
19m = 0 + -12

Combine like terms: 0 + -12 = -12
19m = -12

Divide each side by '19'.
m = -0.6315789474

Simplifying
m = -0.6315789474

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