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Simplifying 3[d + -2] = 5[d + 8] Reorder the terms: 3[-2 + d] = 5[d + 8] [-2 * 3 + d * 3] = 5[d + 8] [-6 + 3d] = 5[d + 8] Reorder the terms: -6 + 3d = 5[8 + d] -6 + 3d = [8 * 5 + d * 5] -6 + 3d = [40 + 5d] Solving -6 + 3d = 40 + 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. -6 + 3d + -5d = 40 + 5d + -5d Combine like terms: 3d + -5d = -2d -6 + -2d = 40 + 5d + -5d Combine like terms: 5d + -5d = 0 -6 + -2d = 40 + 0 -6 + -2d = 40 Add '6' to each side of the equation. -6 + 6 + -2d = 40 + 6 Combine like terms: -6 + 6 = 0 0 + -2d = 40 + 6 -2d = 40 + 6 Combine like terms: 40 + 6 = 46 -2d = 46 Divide each side by '-2'. d = -23 Simplifying d = -23
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