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Simplifying 3 + 2q + 2 + 6 + 6q + r = 0 Reorder the terms: 3 + 2 + 6 + 2q + 6q + r = 0 Combine like terms: 3 + 2 = 5 5 + 6 + 2q + 6q + r = 0 Combine like terms: 5 + 6 = 11 11 + 2q + 6q + r = 0 Combine like terms: 2q + 6q = 8q 11 + 8q + r = 0 Solving 11 + 8q + r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 8q + -11 + r = 0 + -11 Reorder the terms: 11 + -11 + 8q + r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 8q + r = 0 + -11 8q + r = 0 + -11 Combine like terms: 0 + -11 = -11 8q + r = -11 Add '-1r' to each side of the equation. 8q + r + -1r = -11 + -1r Combine like terms: r + -1r = 0 8q + 0 = -11 + -1r 8q = -11 + -1r Divide each side by '8'. q = -1.375 + -0.125r Simplifying q = -1.375 + -0.125r
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