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Simplifying 3 + (2q) + 6 + (6q) + r = 0 Reorder the terms: 3 + 6 + (2q) + (6q) + r = 0 Combine like terms: 3 + 6 = 9 9 + (2q) + (6q) + r = 0 Combine like terms: (2q) + (6q) = 8q 9 + 8q + r = 0 Solving 9 + 8q + r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 8q + -9 + r = 0 + -9 Reorder the terms: 9 + -9 + 8q + r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8q + r = 0 + -9 8q + r = 0 + -9 Combine like terms: 0 + -9 = -9 8q + r = -9 Add '-1r' to each side of the equation. 8q + r + -1r = -9 + -1r Combine like terms: r + -1r = 0 8q + 0 = -9 + -1r 8q = -9 + -1r Divide each side by '8'. q = -1.125 + -0.125r Simplifying q = -1.125 + -0.125r
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