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Simplifying 14 + -1(-2q + 5) = -2q + 9 Reorder the terms: 14 + -1(5 + -2q) = -2q + 9 14 + (5 * -1 + -2q * -1) = -2q + 9 14 + (-5 + 2q) = -2q + 9 Combine like terms: 14 + -5 = 9 9 + 2q = -2q + 9 Reorder the terms: 9 + 2q = 9 + -2q Add '-9' to each side of the equation. 9 + -9 + 2q = 9 + -9 + -2q Combine like terms: 9 + -9 = 0 0 + 2q = 9 + -9 + -2q 2q = 9 + -9 + -2q Combine like terms: 9 + -9 = 0 2q = 0 + -2q 2q = -2q Solving 2q = -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. 2q + 2q = -2q + 2q Combine like terms: 2q + 2q = 4q 4q = -2q + 2q Combine like terms: -2q + 2q = 0 4q = 0 Divide each side by '4'. q = 0 Simplifying q = 0
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