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Simplifying -4d + (-4d + 5) * 5 = -23 Reorder the terms: -4d + (5 + -4d) * 5 = -23 Reorder the terms for easier multiplication: -4d + 5(5 + -4d) = -23 -4d + (5 * 5 + -4d * 5) = -23 -4d + (25 + -20d) = -23 Reorder the terms: 25 + -4d + -20d = -23 Combine like terms: -4d + -20d = -24d 25 + -24d = -23 Solving 25 + -24d = -23 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -24d = -23 + -25 Combine like terms: 25 + -25 = 0 0 + -24d = -23 + -25 -24d = -23 + -25 Combine like terms: -23 + -25 = -48 -24d = -48 Divide each side by '-24'. d = 2 Simplifying d = 2
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