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Simplifying 3(q + 1) = 8q + -1p Reorder the terms: 3(1 + q) = 8q + -1p (1 * 3 + q * 3) = 8q + -1p (3 + 3q) = 8q + -1p Reorder the terms: 3 + 3q = -1p + 8q Solving 3 + 3q = -1p + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 3 + 3q + -8q = -1p + 8q + -8q Combine like terms: 3q + -8q = -5q 3 + -5q = -1p + 8q + -8q Combine like terms: 8q + -8q = 0 3 + -5q = -1p + 0 3 + -5q = -1p Add '-3' to each side of the equation. 3 + -3 + -5q = -3 + -1p Combine like terms: 3 + -3 = 0 0 + -5q = -3 + -1p -5q = -3 + -1p Divide each side by '-5'. q = 0.6 + 0.2p Simplifying q = 0.6 + 0.2p
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