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Simplifying (q + -34) + (q + -17) = q + 39 Reorder the terms: (-34 + q) + (q + -17) = q + 39 Remove parenthesis around (-34 + q) -34 + q + (q + -17) = q + 39 Reorder the terms: -34 + q + (-17 + q) = q + 39 Remove parenthesis around (-17 + q) -34 + q + -17 + q = q + 39 Reorder the terms: -34 + -17 + q + q = q + 39 Combine like terms: -34 + -17 = -51 -51 + q + q = q + 39 Combine like terms: q + q = 2q -51 + 2q = q + 39 Reorder the terms: -51 + 2q = 39 + q Solving -51 + 2q = 39 + 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. -51 + 2q + -1q = 39 + q + -1q Combine like terms: 2q + -1q = 1q -51 + 1q = 39 + q + -1q Combine like terms: q + -1q = 0 -51 + 1q = 39 + 0 -51 + 1q = 39 Add '51' to each side of the equation. -51 + 51 + 1q = 39 + 51 Combine like terms: -51 + 51 = 0 0 + 1q = 39 + 51 1q = 39 + 51 Combine like terms: 39 + 51 = 90 1q = 90 Divide each side by '1'. q = 90 Simplifying q = 90
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