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Simplifying -1[4(d + 3) + -5[3d + -2(2d + 7)] + -8] = -10 + -6 Reorder the terms: -1[4(3 + d) + -5[3d + -2(2d + 7)] + -8] = -10 + -6 -1[(3 * 4 + d * 4) + -5[3d + -2(2d + 7)] + -8] = -10 + -6 -1[(12 + 4d) + -5[3d + -2(2d + 7)] + -8] = -10 + -6 Reorder the terms: -1[12 + 4d + -5[3d + -2(7 + 2d)] + -8] = -10 + -6 -1[12 + 4d + -5[3d + (7 * -2 + 2d * -2)] + -8] = -10 + -6 -1[12 + 4d + -5[3d + (-14 + -4d)] + -8] = -10 + -6 Reorder the terms: -1[12 + 4d + -5[-14 + 3d + -4d] + -8] = -10 + -6 Combine like terms: 3d + -4d = -1d -1[12 + 4d + -5[-14 + -1d] + -8] = -10 + -6 -1[12 + 4d + [-14 * -5 + -1d * -5] + -8] = -10 + -6 -1[12 + 4d + [70 + 5d] + -8] = -10 + -6 Reorder the terms: -1[12 + 70 + -8 + 4d + 5d] = -10 + -6 Combine like terms: 12 + 70 = 82 -1[82 + -8 + 4d + 5d] = -10 + -6 Combine like terms: 82 + -8 = 74 -1[74 + 4d + 5d] = -10 + -6 Combine like terms: 4d + 5d = 9d -1[74 + 9d] = -10 + -6 [74 * -1 + 9d * -1] = -10 + -6 [-74 + -9d] = -10 + -6 Combine like terms: -10 + -6 = -16 -74 + -9d = -16 Solving -74 + -9d = -16 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -9d = -16 + 74 Combine like terms: -74 + 74 = 0 0 + -9d = -16 + 74 -9d = -16 + 74 Combine like terms: -16 + 74 = 58 -9d = 58 Divide each side by '-9'. d = -6.444444444 Simplifying d = -6.444444444
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