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Simplifying 5(3 + -4q) = -2q + 3 (3 * 5 + -4q * 5) = -2q + 3 (15 + -20q) = -2q + 3 Reorder the terms: 15 + -20q = 3 + -2q Solving 15 + -20q = 3 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. 15 + -20q + 2q = 3 + -2q + 2q Combine like terms: -20q + 2q = -18q 15 + -18q = 3 + -2q + 2q Combine like terms: -2q + 2q = 0 15 + -18q = 3 + 0 15 + -18q = 3 Add '-15' to each side of the equation. 15 + -15 + -18q = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -18q = 3 + -15 -18q = 3 + -15 Combine like terms: 3 + -15 = -12 -18q = -12 Divide each side by '-18'. q = 0.6666666667 Simplifying q = 0.6666666667
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