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Simplifying 3(4q + -3) = 2(3q + 6) Reorder the terms: 3(-3 + 4q) = 2(3q + 6) (-3 * 3 + 4q * 3) = 2(3q + 6) (-9 + 12q) = 2(3q + 6) Reorder the terms: -9 + 12q = 2(6 + 3q) -9 + 12q = (6 * 2 + 3q * 2) -9 + 12q = (12 + 6q) Solving -9 + 12q = 12 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -9 + 12q + -6q = 12 + 6q + -6q Combine like terms: 12q + -6q = 6q -9 + 6q = 12 + 6q + -6q Combine like terms: 6q + -6q = 0 -9 + 6q = 12 + 0 -9 + 6q = 12 Add '9' to each side of the equation. -9 + 9 + 6q = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 6q = 12 + 9 6q = 12 + 9 Combine like terms: 12 + 9 = 21 6q = 21 Divide each side by '6'. q = 3.5 Simplifying q = 3.5
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