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Simplifying 8 + 5[d + -4(d + -4)] = 0 Reorder the terms: 8 + 5[d + -4(-4 + d)] = 0 8 + 5[d + (-4 * -4 + d * -4)] = 0 8 + 5[d + (16 + -4d)] = 0 Reorder the terms: 8 + 5[16 + d + -4d] = 0 Combine like terms: d + -4d = -3d 8 + 5[16 + -3d] = 0 8 + [16 * 5 + -3d * 5] = 0 8 + [80 + -15d] = 0 Combine like terms: 8 + 80 = 88 88 + -15d = 0 Solving 88 + -15d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + -15d = 0 + -88 Combine like terms: 88 + -88 = 0 0 + -15d = 0 + -88 -15d = 0 + -88 Combine like terms: 0 + -88 = -88 -15d = -88 Divide each side by '-15'. d = 5.866666667 Simplifying d = 5.866666667
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