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Simplifying q + 27 = 6q + 2 Reorder the terms: 27 + q = 6q + 2 Reorder the terms: 27 + q = 2 + 6q Solving 27 + q = 2 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 27 + q + -6q = 2 + 6q + -6q Combine like terms: q + -6q = -5q 27 + -5q = 2 + 6q + -6q Combine like terms: 6q + -6q = 0 27 + -5q = 2 + 0 27 + -5q = 2 Add '-27' to each side of the equation. 27 + -27 + -5q = 2 + -27 Combine like terms: 27 + -27 = 0 0 + -5q = 2 + -27 -5q = 2 + -27 Combine like terms: 2 + -27 = -25 -5q = -25 Divide each side by '-5'. q = 5 Simplifying q = 5
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