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Simplifying -4(9d + -2) = -35 + 5d Reorder the terms: -4(-2 + 9d) = -35 + 5d (-2 * -4 + 9d * -4) = -35 + 5d (8 + -36d) = -35 + 5d Solving 8 + -36d = -35 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 8 + -36d + -5d = -35 + 5d + -5d Combine like terms: -36d + -5d = -41d 8 + -41d = -35 + 5d + -5d Combine like terms: 5d + -5d = 0 8 + -41d = -35 + 0 8 + -41d = -35 Add '-8' to each side of the equation. 8 + -8 + -41d = -35 + -8 Combine like terms: 8 + -8 = 0 0 + -41d = -35 + -8 -41d = -35 + -8 Combine like terms: -35 + -8 = -43 -41d = -43 Divide each side by '-41'. d = 1.048780488 Simplifying d = 1.048780488
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