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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 = -26q 70 + -26q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 70 + -26q = 9 + 0 70 + -26q = 9 Add '-70' to each side of the equation. 70 + -70 + -26q = 9 + -70 Combine like terms: 70 + -70 = 0 0 + -26q = 9 + -70 -26q = 9 + -70 Combine like terms: 9 + -70 = -61 -26q = -61 Divide each side by '-26'. q = 2.346153846 Simplifying q = 2.346153846
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