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Simplifying q + -3 + 6q + -9 + -8r + 10 + r = 0 Reorder the terms: -3 + -9 + 10 + q + 6q + -8r + r = 0 Combine like terms: -3 + -9 = -12 -12 + 10 + q + 6q + -8r + r = 0 Combine like terms: -12 + 10 = -2 -2 + q + 6q + -8r + r = 0 Combine like terms: q + 6q = 7q -2 + 7q + -8r + r = 0 Combine like terms: -8r + r = -7r -2 + 7q + -7r = 0 Solving -2 + 7q + -7r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7q + 2 + -7r = 0 + 2 Reorder the terms: -2 + 2 + 7q + -7r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7q + -7r = 0 + 2 7q + -7r = 0 + 2 Combine like terms: 0 + 2 = 2 7q + -7r = 2 Add '7r' to each side of the equation. 7q + -7r + 7r = 2 + 7r Combine like terms: -7r + 7r = 0 7q + 0 = 2 + 7r 7q = 2 + 7r Divide each side by '7'. q = 0.2857142857 + r Simplifying q = 0.2857142857 + r
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