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