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Simplifying q + (3 + q) + (6 + -1q) = 63 Remove parenthesis around (3 + q) q + 3 + q + (6 + -1q) = 63 Remove parenthesis around (6 + -1q) q + 3 + q + 6 + -1q = 63 Reorder the terms: 3 + 6 + q + q + -1q = 63 Combine like terms: 3 + 6 = 9 9 + q + q + -1q = 63 Combine like terms: q + q = 2q 9 + 2q + -1q = 63 Combine like terms: 2q + -1q = 1q 9 + 1q = 63 Solving 9 + 1q = 63 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1q = 63 + -9 Combine like terms: 9 + -9 = 0 0 + 1q = 63 + -9 1q = 63 + -9 Combine like terms: 63 + -9 = 54 1q = 54 Divide each side by '1'. q = 54 Simplifying q = 54
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