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Simplifying 10(3d + 2) + -1(3r + 3) = 0 Reorder the terms: 10(2 + 3d) + -1(3r + 3) = 0 (2 * 10 + 3d * 10) + -1(3r + 3) = 0 (20 + 30d) + -1(3r + 3) = 0 Reorder the terms: 20 + 30d + -1(3 + 3r) = 0 20 + 30d + (3 * -1 + 3r * -1) = 0 20 + 30d + (-3 + -3r) = 0 Reorder the terms: 20 + -3 + 30d + -3r = 0 Combine like terms: 20 + -3 = 17 17 + 30d + -3r = 0 Solving 17 + 30d + -3r = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 30d + -17 + -3r = 0 + -17 Reorder the terms: 17 + -17 + 30d + -3r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 30d + -3r = 0 + -17 30d + -3r = 0 + -17 Combine like terms: 0 + -17 = -17 30d + -3r = -17 Add '3r' to each side of the equation. 30d + -3r + 3r = -17 + 3r Combine like terms: -3r + 3r = 0 30d + 0 = -17 + 3r 30d = -17 + 3r Divide each side by '30'. d = -0.5666666667 + 0.1r Simplifying d = -0.5666666667 + 0.1r
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