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Simplifying 8 + 4[d + -5(d + -5)] = 0 Reorder the terms: 8 + 4[d + -5(-5 + d)] = 0 8 + 4[d + (-5 * -5 + d * -5)] = 0 8 + 4[d + (25 + -5d)] = 0 Reorder the terms: 8 + 4[25 + d + -5d] = 0 Combine like terms: d + -5d = -4d 8 + 4[25 + -4d] = 0 8 + [25 * 4 + -4d * 4] = 0 8 + [100 + -16d] = 0 Combine like terms: 8 + 100 = 108 108 + -16d = 0 Solving 108 + -16d = 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 + -16d = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -16d = 0 + -108 -16d = 0 + -108 Combine like terms: 0 + -108 = -108 -16d = -108 Divide each side by '-16'. d = 6.75 Simplifying d = 6.75
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