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Simplifying 125n + 165(5 + -1n) + 50(n + 1) = 100 125n + (5 * 165 + -1n * 165) + 50(n + 1) = 100 125n + (825 + -165n) + 50(n + 1) = 100 Reorder the terms: 125n + 825 + -165n + 50(1 + n) = 100 125n + 825 + -165n + (1 * 50 + n * 50) = 100 125n + 825 + -165n + (50 + 50n) = 100 Reorder the terms: 825 + 50 + 125n + -165n + 50n = 100 Combine like terms: 825 + 50 = 875 875 + 125n + -165n + 50n = 100 Combine like terms: 125n + -165n = -40n 875 + -40n + 50n = 100 Combine like terms: -40n + 50n = 10n 875 + 10n = 100 Solving 875 + 10n = 100 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-875' to each side of the equation. 875 + -875 + 10n = 100 + -875 Combine like terms: 875 + -875 = 0 0 + 10n = 100 + -875 10n = 100 + -875 Combine like terms: 100 + -875 = -775 10n = -775 Divide each side by '10'. n = -77.5 Simplifying n = -77.5
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