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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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