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Simplifying 14 + -1(29 + 5) = -2q + 9 Combine like terms: 29 + 5 = 34 14 + -1(34) = -2q + 9 Multiply -1 * 34 14 + -34 = -2q + 9 Combine like terms: 14 + -34 = -20 -20 = -2q + 9 Reorder the terms: -20 = 9 + -2q Solving -20 = 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. -20 + 2q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 -20 + 2q = 9 + 0 -20 + 2q = 9 Add '20' to each side of the equation. -20 + 20 + 2q = 9 + 20 Combine like terms: -20 + 20 = 0 0 + 2q = 9 + 20 2q = 9 + 20 Combine like terms: 9 + 20 = 29 2q = 29 Divide each side by '2'. q = 14.5 Simplifying q = 14.5
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