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Simplifying 5(-4q + 3) = 2q + 3 Reorder the terms: 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 = -22q 15 + -22q = 3 + 2q + -2q Combine like terms: 2q + -2q = 0 15 + -22q = 3 + 0 15 + -22q = 3 Add '-15' to each side of the equation. 15 + -15 + -22q = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -22q = 3 + -15 -22q = 3 + -15 Combine like terms: 3 + -15 = -12 -22q = -12 Divide each side by '-22'. q = 0.5454545455 Simplifying q = 0.5454545455
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