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Simplifying 3(3q + -4) = 2(2q + 4) Reorder the terms: 3(-4 + 3q) = 2(2q + 4) (-4 * 3 + 3q * 3) = 2(2q + 4) (-12 + 9q) = 2(2q + 4) Reorder the terms: -12 + 9q = 2(4 + 2q) -12 + 9q = (4 * 2 + 2q * 2) -12 + 9q = (8 + 4q) Solving -12 + 9q = 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. -12 + 9q + -4q = 8 + 4q + -4q Combine like terms: 9q + -4q = 5q -12 + 5q = 8 + 4q + -4q Combine like terms: 4q + -4q = 0 -12 + 5q = 8 + 0 -12 + 5q = 8 Add '12' to each side of the equation. -12 + 12 + 5q = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5q = 8 + 12 5q = 8 + 12 Combine like terms: 8 + 12 = 20 5q = 20 Divide each side by '5'. q = 4 Simplifying q = 4
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