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Simplifying -23 + 13y + 10n + -5y + -5n + -12 = 0 Reorder the terms: -23 + -12 + 10n + -5n + 13y + -5y = 0 Combine like terms: -23 + -12 = -35 -35 + 10n + -5n + 13y + -5y = 0 Combine like terms: 10n + -5n = 5n -35 + 5n + 13y + -5y = 0 Combine like terms: 13y + -5y = 8y -35 + 5n + 8y = 0 Solving -35 + 5n + 8y = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 5n + 35 + 8y = 0 + 35 Reorder the terms: -35 + 35 + 5n + 8y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 5n + 8y = 0 + 35 5n + 8y = 0 + 35 Combine like terms: 0 + 35 = 35 5n + 8y = 35 Add '-8y' to each side of the equation. 5n + 8y + -8y = 35 + -8y Combine like terms: 8y + -8y = 0 5n + 0 = 35 + -8y 5n = 35 + -8y Divide each side by '5'. n = 7 + -1.6y Simplifying n = 7 + -1.6y
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