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Simplifying 15 + 10r + 6q + -3r + -4q + 19 = 0 Reorder the terms: 15 + 19 + 6q + -4q + 10r + -3r = 0 Combine like terms: 15 + 19 = 34 34 + 6q + -4q + 10r + -3r = 0 Combine like terms: 6q + -4q = 2q 34 + 2q + 10r + -3r = 0 Combine like terms: 10r + -3r = 7r 34 + 2q + 7r = 0 Solving 34 + 2q + 7r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + 2q + -34 + 7r = 0 + -34 Reorder the terms: 34 + -34 + 2q + 7r = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 2q + 7r = 0 + -34 2q + 7r = 0 + -34 Combine like terms: 0 + -34 = -34 2q + 7r = -34 Add '-7r' to each side of the equation. 2q + 7r + -7r = -34 + -7r Combine like terms: 7r + -7r = 0 2q + 0 = -34 + -7r 2q = -34 + -7r Divide each side by '2'. q = -17 + -3.5r Simplifying q = -17 + -3.5r
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