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Simplifying 13 + 6q + 3 = -7q + 2 Reorder the terms: 13 + 3 + 6q = -7q + 2 Combine like terms: 13 + 3 = 16 16 + 6q = -7q + 2 Reorder the terms: 16 + 6q = 2 + -7q Solving 16 + 6q = 2 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. 16 + 6q + 7q = 2 + -7q + 7q Combine like terms: 6q + 7q = 13q 16 + 13q = 2 + -7q + 7q Combine like terms: -7q + 7q = 0 16 + 13q = 2 + 0 16 + 13q = 2 Add '-16' to each side of the equation. 16 + -16 + 13q = 2 + -16 Combine like terms: 16 + -16 = 0 0 + 13q = 2 + -16 13q = 2 + -16 Combine like terms: 2 + -16 = -14 13q = -14 Divide each side by '13'. q = -1.076923077 Simplifying q = -1.076923077
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