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Simplifying 3(q + -3) = 4(3 + -4q) Reorder the terms: 3(-3 + q) = 4(3 + -4q) (-3 * 3 + q * 3) = 4(3 + -4q) (-9 + 3q) = 4(3 + -4q) -9 + 3q = (3 * 4 + -4q * 4) -9 + 3q = (12 + -16q) Solving -9 + 3q = 12 + -16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16q' to each side of the equation. -9 + 3q + 16q = 12 + -16q + 16q Combine like terms: 3q + 16q = 19q -9 + 19q = 12 + -16q + 16q Combine like terms: -16q + 16q = 0 -9 + 19q = 12 + 0 -9 + 19q = 12 Add '9' to each side of the equation. -9 + 9 + 19q = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 19q = 12 + 9 19q = 12 + 9 Combine like terms: 12 + 9 = 21 19q = 21 Divide each side by '19'. q = 1.105263158 Simplifying q = 1.105263158
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