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Simplifying 3q + 27 = -5q + 2 Reorder the terms: 27 + 3q = -5q + 2 Reorder the terms: 27 + 3q = 2 + -5q Solving 27 + 3q = 2 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 27 + 3q + 5q = 2 + -5q + 5q Combine like terms: 3q + 5q = 8q 27 + 8q = 2 + -5q + 5q Combine like terms: -5q + 5q = 0 27 + 8q = 2 + 0 27 + 8q = 2 Add '-27' to each side of the equation. 27 + -27 + 8q = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 8q = 2 + -27 8q = 2 + -27 Combine like terms: 2 + -27 = -25 8q = -25 Divide each side by '8'. q = -3.125 Simplifying q = -3.125
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