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