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Simplifying 10(d + 4) = 5d + 25 Reorder the terms: 10(4 + d) = 5d + 25 (4 * 10 + d * 10) = 5d + 25 (40 + 10d) = 5d + 25 Reorder the terms: 40 + 10d = 25 + 5d Solving 40 + 10d = 25 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 40 + 10d + -5d = 25 + 5d + -5d Combine like terms: 10d + -5d = 5d 40 + 5d = 25 + 5d + -5d Combine like terms: 5d + -5d = 0 40 + 5d = 25 + 0 40 + 5d = 25 Add '-40' to each side of the equation. 40 + -40 + 5d = 25 + -40 Combine like terms: 40 + -40 = 0 0 + 5d = 25 + -40 5d = 25 + -40 Combine like terms: 25 + -40 = -15 5d = -15 Divide each side by '5'. d = -3 Simplifying d = -3
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