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Simplifying 2 + 5[d + -5(d + -5)] = 0 Reorder the terms: 2 + 5[d + -5(-5 + d)] = 0 2 + 5[d + (-5 * -5 + d * -5)] = 0 2 + 5[d + (25 + -5d)] = 0 Reorder the terms: 2 + 5[25 + d + -5d] = 0 Combine like terms: d + -5d = -4d 2 + 5[25 + -4d] = 0 2 + [25 * 5 + -4d * 5] = 0 2 + [125 + -20d] = 0 Combine like terms: 2 + 125 = 127 127 + -20d = 0 Solving 127 + -20d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-127' to each side of the equation. 127 + -127 + -20d = 0 + -127 Combine like terms: 127 + -127 = 0 0 + -20d = 0 + -127 -20d = 0 + -127 Combine like terms: 0 + -127 = -127 -20d = -127 Divide each side by '-20'. d = 6.35 Simplifying d = 6.35
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