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Simplifying 0 = 12(3q + -4) + -8(5q + -7) Reorder the terms: 0 = 12(-4 + 3q) + -8(5q + -7) 0 = (-4 * 12 + 3q * 12) + -8(5q + -7) 0 = (-48 + 36q) + -8(5q + -7) Reorder the terms: 0 = -48 + 36q + -8(-7 + 5q) 0 = -48 + 36q + (-7 * -8 + 5q * -8) 0 = -48 + 36q + (56 + -40q) Reorder the terms: 0 = -48 + 56 + 36q + -40q Combine like terms: -48 + 56 = 8 0 = 8 + 36q + -40q Combine like terms: 36q + -40q = -4q 0 = 8 + -4q Solving 0 = 8 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 0 + 4q = 8 + -4q + 4q Remove the zero: 4q = 8 + -4q + 4q Combine like terms: -4q + 4q = 0 4q = 8 + 0 4q = 8 Divide each side by '4'. q = 2 Simplifying q = 2
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