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Simplifying q + (q + 2) = (q + 4) + 31 Reorder the terms: q + (2 + q) = (q + 4) + 31 Remove parenthesis around (2 + q) q + 2 + q = (q + 4) + 31 Reorder the terms: 2 + q + q = (q + 4) + 31 Combine like terms: q + q = 2q 2 + 2q = (q + 4) + 31 Reorder the terms: 2 + 2q = (4 + q) + 31 Remove parenthesis around (4 + q) 2 + 2q = 4 + q + 31 Reorder the terms: 2 + 2q = 4 + 31 + q Combine like terms: 4 + 31 = 35 2 + 2q = 35 + q Solving 2 + 2q = 35 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 2 + 2q + -1q = 35 + q + -1q Combine like terms: 2q + -1q = 1q 2 + 1q = 35 + q + -1q Combine like terms: q + -1q = 0 2 + 1q = 35 + 0 2 + 1q = 35 Add '-2' to each side of the equation. 2 + -2 + 1q = 35 + -2 Combine like terms: 2 + -2 = 0 0 + 1q = 35 + -2 1q = 35 + -2 Combine like terms: 35 + -2 = 33 1q = 33 Divide each side by '1'. q = 33 Simplifying q = 33
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