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Simplifying 14 + (2q + 5) = -2q + 9 Reorder the terms: 14 + (5 + 2q) = -2q + 9 Remove parenthesis around (5 + 2q) 14 + 5 + 2q = -2q + 9 Combine like terms: 14 + 5 = 19 19 + 2q = -2q + 9 Reorder the terms: 19 + 2q = 9 + -2q Solving 19 + 2q = 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. 19 + 2q + 2q = 9 + -2q + 2q Combine like terms: 2q + 2q = 4q 19 + 4q = 9 + -2q + 2q Combine like terms: -2q + 2q = 0 19 + 4q = 9 + 0 19 + 4q = 9 Add '-19' to each side of the equation. 19 + -19 + 4q = 9 + -19 Combine like terms: 19 + -19 = 0 0 + 4q = 9 + -19 4q = 9 + -19 Combine like terms: 9 + -19 = -10 4q = -10 Divide each side by '4'. q = -2.5 Simplifying q = -2.5
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