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Simplifying 10(54 + -1n) + 5d = 380 (54 * 10 + -1n * 10) + 5d = 380 (540 + -10n) + 5d = 380 Reorder the terms: 540 + 5d + -10n = 380 Solving 540 + 5d + -10n = 380 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-540' to each side of the equation. 540 + 5d + -540 + -10n = 380 + -540 Reorder the terms: 540 + -540 + 5d + -10n = 380 + -540 Combine like terms: 540 + -540 = 0 0 + 5d + -10n = 380 + -540 5d + -10n = 380 + -540 Combine like terms: 380 + -540 = -160 5d + -10n = -160 Add '10n' to each side of the equation. 5d + -10n + 10n = -160 + 10n Combine like terms: -10n + 10n = 0 5d + 0 = -160 + 10n 5d = -160 + 10n Divide each side by '5'. d = -32 + 2n Simplifying d = -32 + 2n
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