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Simplifying 3q + 27 = q + 33 Reorder the terms: 27 + 3q = q + 33 Reorder the terms: 27 + 3q = 33 + q Solving 27 + 3q = 33 + 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. 27 + 3q + -1q = 33 + q + -1q Combine like terms: 3q + -1q = 2q 27 + 2q = 33 + q + -1q Combine like terms: q + -1q = 0 27 + 2q = 33 + 0 27 + 2q = 33 Add '-27' to each side of the equation. 27 + -27 + 2q = 33 + -27 Combine like terms: 27 + -27 = 0 0 + 2q = 33 + -27 2q = 33 + -27 Combine like terms: 33 + -27 = 6 2q = 6 Divide each side by '2'. q = 3 Simplifying q = 3
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