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Simplifying -4[(d + 3) + -5[3d + -2(2d + 7)] + -8] = -10d + -1c Reorder the terms: -4[(3 + d) + -5[3d + -2(2d + 7)] + -8] = -10d + -1c Remove parenthesis around (3 + d) -4[3 + d + -5[3d + -2(2d + 7)] + -8] = -10d + -1c Reorder the terms: -4[3 + d + -5[3d + -2(7 + 2d)] + -8] = -10d + -1c -4[3 + d + -5[3d + (7 * -2 + 2d * -2)] + -8] = -10d + -1c -4[3 + d + -5[3d + (-14 + -4d)] + -8] = -10d + -1c Reorder the terms: -4[3 + d + -5[-14 + 3d + -4d] + -8] = -10d + -1c Combine like terms: 3d + -4d = -1d -4[3 + d + -5[-14 + -1d] + -8] = -10d + -1c -4[3 + d + [-14 * -5 + -1d * -5] + -8] = -10d + -1c -4[3 + d + [70 + 5d] + -8] = -10d + -1c Reorder the terms: -4[3 + 70 + -8 + d + 5d] = -10d + -1c Combine like terms: 3 + 70 = 73 -4[73 + -8 + d + 5d] = -10d + -1c Combine like terms: 73 + -8 = 65 -4[65 + d + 5d] = -10d + -1c Combine like terms: d + 5d = 6d -4[65 + 6d] = -10d + -1c [65 * -4 + 6d * -4] = -10d + -1c [-260 + -24d] = -10d + -1c Reorder the terms: -260 + -24d = -1c + -10d Solving -260 + -24d = -1c + -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. -260 + -24d + 10d = -1c + -10d + 10d Combine like terms: -24d + 10d = -14d -260 + -14d = -1c + -10d + 10d Combine like terms: -10d + 10d = 0 -260 + -14d = -1c + 0 -260 + -14d = -1c Add '260' to each side of the equation. -260 + 260 + -14d = 260 + -1c Combine like terms: -260 + 260 = 0 0 + -14d = 260 + -1c -14d = 260 + -1c Divide each side by '-14'. d = -18.57142857 + 0.07142857143c Simplifying d = -18.57142857 + 0.07142857143c
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