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Simplifying 8 + 5[d + -5(d + -4)] = 0 Reorder the terms: 8 + 5[d + -5(-4 + d)] = 0 8 + 5[d + (-4 * -5 + d * -5)] = 0 8 + 5[d + (20 + -5d)] = 0 Reorder the terms: 8 + 5[20 + d + -5d] = 0 Combine like terms: d + -5d = -4d 8 + 5[20 + -4d] = 0 8 + [20 * 5 + -4d * 5] = 0 8 + [100 + -20d] = 0 Combine like terms: 8 + 100 = 108 108 + -20d = 0 Solving 108 + -20d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -20d = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -20d = 0 + -108 -20d = 0 + -108 Combine like terms: 0 + -108 = -108 -20d = -108 Divide each side by '-20'. d = 5.4 Simplifying d = 5.4
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