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Simplifying 3 + 2q + 2 + 6 + 12 + r = 0 Reorder the terms: 3 + 2 + 6 + 12 + 2q + r = 0 Combine like terms: 3 + 2 = 5 5 + 6 + 12 + 2q + r = 0 Combine like terms: 5 + 6 = 11 11 + 12 + 2q + r = 0 Combine like terms: 11 + 12 = 23 23 + 2q + r = 0 Solving 23 + 2q + r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 2q + -23 + r = 0 + -23 Reorder the terms: 23 + -23 + 2q + r = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2q + r = 0 + -23 2q + r = 0 + -23 Combine like terms: 0 + -23 = -23 2q + r = -23 Add '-1r' to each side of the equation. 2q + r + -1r = -23 + -1r Combine like terms: r + -1r = 0 2q + 0 = -23 + -1r 2q = -23 + -1r Divide each side by '2'. q = -11.5 + -0.5r Simplifying q = -11.5 + -0.5r
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