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Simplifying 14 + -1(2q + 5) = -2q + q Reorder the terms: 14 + -1(5 + 2q) = -2q + q 14 + (5 * -1 + 2q * -1) = -2q + q 14 + (-5 + -2q) = -2q + q Combine like terms: 14 + -5 = 9 9 + -2q = -2q + q Combine like terms: -2q + q = -1q 9 + -2q = -1q Solving 9 + -2q = -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 9 + -2q + q = -1q + q Combine like terms: -2q + q = -1q 9 + -1q = -1q + q Combine like terms: -1q + q = 0 9 + -1q = 0 Add '-9' to each side of the equation. 9 + -9 + -1q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1q = 0 + -9 -1q = 0 + -9 Combine like terms: 0 + -9 = -9 -1q = -9 Divide each side by '-1'. q = 9 Simplifying q = 9
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