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Simplifying (33 + -1q) + (3q + 5) = 90 Remove parenthesis around (33 + -1q) 33 + -1q + (3q + 5) = 90 Reorder the terms: 33 + -1q + (5 + 3q) = 90 Remove parenthesis around (5 + 3q) 33 + -1q + 5 + 3q = 90 Reorder the terms: 33 + 5 + -1q + 3q = 90 Combine like terms: 33 + 5 = 38 38 + -1q + 3q = 90 Combine like terms: -1q + 3q = 2q 38 + 2q = 90 Solving 38 + 2q = 90 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 2q = 90 + -38 Combine like terms: 38 + -38 = 0 0 + 2q = 90 + -38 2q = 90 + -38 Combine like terms: 90 + -38 = 52 2q = 52 Divide each side by '2'. q = 26 Simplifying q = 26
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