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Simplifying 5n + 10(n + 9) + 25(d + 21) = 305 Reorder the terms: 5n + 10(9 + n) + 25(d + 21) = 305 5n + (9 * 10 + n * 10) + 25(d + 21) = 305 5n + (90 + 10n) + 25(d + 21) = 305 Reorder the terms: 5n + 90 + 10n + 25(21 + d) = 305 5n + 90 + 10n + (21 * 25 + d * 25) = 305 5n + 90 + 10n + (525 + 25d) = 305 Reorder the terms: 90 + 525 + 25d + 5n + 10n = 305 Combine like terms: 90 + 525 = 615 615 + 25d + 5n + 10n = 305 Combine like terms: 5n + 10n = 15n 615 + 25d + 15n = 305 Solving 615 + 25d + 15n = 305 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-615' to each side of the equation. 615 + 25d + -615 + 15n = 305 + -615 Reorder the terms: 615 + -615 + 25d + 15n = 305 + -615 Combine like terms: 615 + -615 = 0 0 + 25d + 15n = 305 + -615 25d + 15n = 305 + -615 Combine like terms: 305 + -615 = -310 25d + 15n = -310 Add '-15n' to each side of the equation. 25d + 15n + -15n = -310 + -15n Combine like terms: 15n + -15n = 0 25d + 0 = -310 + -15n 25d = -310 + -15n Divide each side by '25'. d = -12.4 + -0.6n Simplifying d = -12.4 + -0.6n
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