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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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