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Simplifying 9q + 27 = q + 51 Reorder the terms: 27 + 9q = q + 51 Reorder the terms: 27 + 9q = 51 + q Solving 27 + 9q = 51 + 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 + 9q + -1q = 51 + q + -1q Combine like terms: 9q + -1q = 8q 27 + 8q = 51 + q + -1q Combine like terms: q + -1q = 0 27 + 8q = 51 + 0 27 + 8q = 51 Add '-27' to each side of the equation. 27 + -27 + 8q = 51 + -27 Combine like terms: 27 + -27 = 0 0 + 8q = 51 + -27 8q = 51 + -27 Combine like terms: 51 + -27 = 24 8q = 24 Divide each side by '8'. q = 3 Simplifying q = 3
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