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Simplifying 14(2q + 5) = -2q + 9 Reorder the terms: 14(5 + 2q) = -2q + 9 (5 * 14 + 2q * 14) = -2q + 9 (70 + 28q) = -2q + 9 Reorder the terms: 70 + 28q = 9 + -2q Solving 70 + 28q = 9 + -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. 70 + 28q + 2q = 9 + -2q + 2q Combine like terms: 28q + 2q = 30q 70 + 30q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 70 + 30q = 9 + 0 70 + 30q = 9 Add '-70' to each side of the equation. 70 + -70 + 30q = 9 + -70 Combine like terms: 70 + -70 = 0 0 + 30q = 9 + -70 30q = 9 + -70 Combine like terms: 9 + -70 = -61 30q = -61 Divide each side by '30'. q = -2.033333333 Simplifying q = -2.033333333
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