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Simplifying 8 + -5q = 3q + 32 Reorder the terms: 8 + -5q = 32 + 3q Solving 8 + -5q = 32 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 8 + -5q + -3q = 32 + 3q + -3q Combine like terms: -5q + -3q = -8q 8 + -8q = 32 + 3q + -3q Combine like terms: 3q + -3q = 0 8 + -8q = 32 + 0 8 + -8q = 32 Add '-8' to each side of the equation. 8 + -8 + -8q = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -8q = 32 + -8 -8q = 32 + -8 Combine like terms: 32 + -8 = 24 -8q = 24 Divide each side by '-8'. q = -3 Simplifying q = -3
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