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Simplifying 6q + 1 = -7q + 10 Reorder the terms: 1 + 6q = -7q + 10 Reorder the terms: 1 + 6q = 10 + -7q Solving 1 + 6q = 10 + -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. 1 + 6q + 7q = 10 + -7q + 7q Combine like terms: 6q + 7q = 13q 1 + 13q = 10 + -7q + 7q Combine like terms: -7q + 7q = 0 1 + 13q = 10 + 0 1 + 13q = 10 Add '-1' to each side of the equation. 1 + -1 + 13q = 10 + -1 Combine like terms: 1 + -1 = 0 0 + 13q = 10 + -1 13q = 10 + -1 Combine like terms: 10 + -1 = 9 13q = 9 Divide each side by '13'. q = 0.6923076923 Simplifying q = 0.6923076923
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