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Simplifying 5(3 + -2q) = 2(7 + -1q) (3 * 5 + -2q * 5) = 2(7 + -1q) (15 + -10q) = 2(7 + -1q) 15 + -10q = (7 * 2 + -1q * 2) 15 + -10q = (14 + -2q) Solving 15 + -10q = 14 + -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 + -10q + 2q = 14 + -2q + 2q Combine like terms: -10q + 2q = -8q 15 + -8q = 14 + -2q + 2q Combine like terms: -2q + 2q = 0 15 + -8q = 14 + 0 15 + -8q = 14 Add '-15' to each side of the equation. 15 + -15 + -8q = 14 + -15 Combine like terms: 15 + -15 = 0 0 + -8q = 14 + -15 -8q = 14 + -15 Combine like terms: 14 + -15 = -1 -8q = -1 Divide each side by '-8'. q = 0.125 Simplifying q = 0.125
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