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Simplifying 3(3q + 4) = 2(2q + -2) Reorder the terms: 3(4 + 3q) = 2(2q + -2) (4 * 3 + 3q * 3) = 2(2q + -2) (12 + 9q) = 2(2q + -2) Reorder the terms: 12 + 9q = 2(-2 + 2q) 12 + 9q = (-2 * 2 + 2q * 2) 12 + 9q = (-4 + 4q) Solving 12 + 9q = -4 + 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 = -4 + 4q + -4q Combine like terms: 9q + -4q = 5q 12 + 5q = -4 + 4q + -4q Combine like terms: 4q + -4q = 0 12 + 5q = -4 + 0 12 + 5q = -4 Add '-12' to each side of the equation. 12 + -12 + 5q = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 5q = -4 + -12 5q = -4 + -12 Combine like terms: -4 + -12 = -16 5q = -16 Divide each side by '5'. q = -3.2 Simplifying q = -3.2
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