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Simplifying -1(4(d + 3) + -5(3d + -2(2d + 7)) + -8) = -10d + -6 Reorder the terms: -1(4(3 + d) + -5(3d + -2(2d + 7)) + -8) = -10d + -6 -1((3 * 4 + d * 4) + -5(3d + -2(2d + 7)) + -8) = -10d + -6 -1((12 + 4d) + -5(3d + -2(2d + 7)) + -8) = -10d + -6 Reorder the terms: -1(12 + 4d + -5(3d + -2(7 + 2d)) + -8) = -10d + -6 -1(12 + 4d + -5(3d + (7 * -2 + 2d * -2)) + -8) = -10d + -6 -1(12 + 4d + -5(3d + (-14 + -4d)) + -8) = -10d + -6 Reorder the terms: -1(12 + 4d + -5(-14 + 3d + -4d) + -8) = -10d + -6 Combine like terms: 3d + -4d = -1d -1(12 + 4d + -5(-14 + -1d) + -8) = -10d + -6 -1(12 + 4d + (-14 * -5 + -1d * -5) + -8) = -10d + -6 -1(12 + 4d + (70 + 5d) + -8) = -10d + -6 Reorder the terms: -1(12 + 70 + -8 + 4d + 5d) = -10d + -6 Combine like terms: 12 + 70 = 82 -1(82 + -8 + 4d + 5d) = -10d + -6 Combine like terms: 82 + -8 = 74 -1(74 + 4d + 5d) = -10d + -6 Combine like terms: 4d + 5d = 9d -1(74 + 9d) = -10d + -6 (74 * -1 + 9d * -1) = -10d + -6 (-74 + -9d) = -10d + -6 Reorder the terms: -74 + -9d = -6 + -10d Solving -74 + -9d = -6 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. -74 + -9d + 10d = -6 + -10d + 10d Combine like terms: -9d + 10d = 1d -74 + 1d = -6 + -10d + 10d Combine like terms: -10d + 10d = 0 -74 + 1d = -6 + 0 -74 + 1d = -6 Add '74' to each side of the equation. -74 + 74 + 1d = -6 + 74 Combine like terms: -74 + 74 = 0 0 + 1d = -6 + 74 1d = -6 + 74 Combine like terms: -6 + 74 = 68 1d = 68 Divide each side by '1'. d = 68 Simplifying d = 68
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