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Simplifying 13q + 16 = -12q + 8 + 17q Reorder the terms: 16 + 13q = -12q + 8 + 17q Reorder the terms: 16 + 13q = 8 + -12q + 17q Combine like terms: -12q + 17q = 5q 16 + 13q = 8 + 5q Solving 16 + 13q = 8 + 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. 16 + 13q + -5q = 8 + 5q + -5q Combine like terms: 13q + -5q = 8q 16 + 8q = 8 + 5q + -5q Combine like terms: 5q + -5q = 0 16 + 8q = 8 + 0 16 + 8q = 8 Add '-16' to each side of the equation. 16 + -16 + 8q = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 8q = 8 + -16 8q = 8 + -16 Combine like terms: 8 + -16 = -8 8q = -8 Divide each side by '8'. q = -1 Simplifying q = -1
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