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Simplifying 13q + -142 = 5q + -46 Reorder the terms: -142 + 13q = 5q + -46 Reorder the terms: -142 + 13q = -46 + 5q Solving -142 + 13q = -46 + 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. -142 + 13q + -5q = -46 + 5q + -5q Combine like terms: 13q + -5q = 8q -142 + 8q = -46 + 5q + -5q Combine like terms: 5q + -5q = 0 -142 + 8q = -46 + 0 -142 + 8q = -46 Add '142' to each side of the equation. -142 + 142 + 8q = -46 + 142 Combine like terms: -142 + 142 = 0 0 + 8q = -46 + 142 8q = -46 + 142 Combine like terms: -46 + 142 = 96 8q = 96 Divide each side by '8'. q = 12 Simplifying q = 12
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