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Simplifying 3(q + -2) = 5(4q + 9) Reorder the terms: 3(-2 + q) = 5(4q + 9) (-2 * 3 + q * 3) = 5(4q + 9) (-6 + 3q) = 5(4q + 9) Reorder the terms: -6 + 3q = 5(9 + 4q) -6 + 3q = (9 * 5 + 4q * 5) -6 + 3q = (45 + 20q) Solving -6 + 3q = 45 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. -6 + 3q + -20q = 45 + 20q + -20q Combine like terms: 3q + -20q = -17q -6 + -17q = 45 + 20q + -20q Combine like terms: 20q + -20q = 0 -6 + -17q = 45 + 0 -6 + -17q = 45 Add '6' to each side of the equation. -6 + 6 + -17q = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -17q = 45 + 6 -17q = 45 + 6 Combine like terms: 45 + 6 = 51 -17q = 51 Divide each side by '-17'. q = -3 Simplifying q = -3
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