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Simplifying 14 + -1(2q + 5) = -5q + 9 Reorder the terms: 14 + -1(5 + 2q) = -5q + 9 14 + (5 * -1 + 2q * -1) = -5q + 9 14 + (-5 + -2q) = -5q + 9 Combine like terms: 14 + -5 = 9 9 + -2q = -5q + 9 Reorder the terms: 9 + -2q = 9 + -5q Add '-9' to each side of the equation. 9 + -9 + -2q = 9 + -9 + -5q Combine like terms: 9 + -9 = 0 0 + -2q = 9 + -9 + -5q -2q = 9 + -9 + -5q Combine like terms: 9 + -9 = 0 -2q = 0 + -5q -2q = -5q Solving -2q = -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -2q + 5q = -5q + 5q Combine like terms: -2q + 5q = 3q 3q = -5q + 5q Combine like terms: -5q + 5q = 0 3q = 0 Divide each side by '3'. q = 0 Simplifying q = 0
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