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Simplifying 3(2q + -1) = 4(q + 3) Reorder the terms: 3(-1 + 2q) = 4(q + 3) (-1 * 3 + 2q * 3) = 4(q + 3) (-3 + 6q) = 4(q + 3) Reorder the terms: -3 + 6q = 4(3 + q) -3 + 6q = (3 * 4 + q * 4) -3 + 6q = (12 + 4q) Solving -3 + 6q = 12 + 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. -3 + 6q + -4q = 12 + 4q + -4q Combine like terms: 6q + -4q = 2q -3 + 2q = 12 + 4q + -4q Combine like terms: 4q + -4q = 0 -3 + 2q = 12 + 0 -3 + 2q = 12 Add '3' to each side of the equation. -3 + 3 + 2q = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 2q = 12 + 3 2q = 12 + 3 Combine like terms: 12 + 3 = 15 2q = 15 Divide each side by '2'. q = 7.5 Simplifying q = 7.5
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