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Simplifying 4(9d + 2) = 2(d + -17) + -8d Reorder the terms: 4(2 + 9d) = 2(d + -17) + -8d (2 * 4 + 9d * 4) = 2(d + -17) + -8d (8 + 36d) = 2(d + -17) + -8d Reorder the terms: 8 + 36d = 2(-17 + d) + -8d 8 + 36d = (-17 * 2 + d * 2) + -8d 8 + 36d = (-34 + 2d) + -8d Combine like terms: 2d + -8d = -6d 8 + 36d = -34 + -6d Solving 8 + 36d = -34 + -6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '6d' to each side of the equation. 8 + 36d + 6d = -34 + -6d + 6d Combine like terms: 36d + 6d = 42d 8 + 42d = -34 + -6d + 6d Combine like terms: -6d + 6d = 0 8 + 42d = -34 + 0 8 + 42d = -34 Add '-8' to each side of the equation. 8 + -8 + 42d = -34 + -8 Combine like terms: 8 + -8 = 0 0 + 42d = -34 + -8 42d = -34 + -8 Combine like terms: -34 + -8 = -42 42d = -42 Divide each side by '42'. d = -1 Simplifying d = -1
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