2(6+3q)-3q=8m(3m-5)

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Solution for 2(6+3q)-3q=8m(3m-5) equation:


Simplifying
2(6 + 3q) + -3q = 8m(3m + -5)
(6 * 2 + 3q * 2) + -3q = 8m(3m + -5)
(12 + 6q) + -3q = 8m(3m + -5)

Combine like terms: 6q + -3q = 3q
12 + 3q = 8m(3m + -5)

Reorder the terms:
12 + 3q = 8m(-5 + 3m)
12 + 3q = (-5 * 8m + 3m * 8m)
12 + 3q = (-40m + 24m2)

Solving
12 + 3q = -40m + 24m2

Solving for variable 'q'.

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

Add '-12' to each side of the equation.
12 + -12 + 3q = -40m + -12 + 24m2

Combine like terms: 12 + -12 = 0
0 + 3q = -40m + -12 + 24m2
3q = -40m + -12 + 24m2

Reorder the terms:
3q = -12 + -40m + 24m2

Divide each side by '3'.
q = -4 + -13.33333333m + 8m2

Simplifying
q = -4 + -13.33333333m + 8m2

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