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Simplifying 8(-3d + 2) + -3r = -10 Reorder the terms: 8(2 + -3d) + -3r = -10 (2 * 8 + -3d * 8) + -3r = -10 (16 + -24d) + -3r = -10 Solving 16 + -24d + -3r = -10 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -24d + -16 + -3r = -10 + -16 Reorder the terms: 16 + -16 + -24d + -3r = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -24d + -3r = -10 + -16 -24d + -3r = -10 + -16 Combine like terms: -10 + -16 = -26 -24d + -3r = -26 Add '3r' to each side of the equation. -24d + -3r + 3r = -26 + 3r Combine like terms: -3r + 3r = 0 -24d + 0 = -26 + 3r -24d = -26 + 3r Divide each side by '-24'. d = 1.083333333 + -0.125r Simplifying d = 1.083333333 + -0.125r
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