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Simplifying 3(5 + -2q) = 7(1 + -2q) (5 * 3 + -2q * 3) = 7(1 + -2q) (15 + -6q) = 7(1 + -2q) 15 + -6q = (1 * 7 + -2q * 7) 15 + -6q = (7 + -14q) Solving 15 + -6q = 7 + -14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '14q' to each side of the equation. 15 + -6q + 14q = 7 + -14q + 14q Combine like terms: -6q + 14q = 8q 15 + 8q = 7 + -14q + 14q Combine like terms: -14q + 14q = 0 15 + 8q = 7 + 0 15 + 8q = 7 Add '-15' to each side of the equation. 15 + -15 + 8q = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8q = 7 + -15 8q = 7 + -15 Combine like terms: 7 + -15 = -8 8q = -8 Divide each side by '8'. q = -1 Simplifying q = -1
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