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Simplifying 4n + 8 + -9n = -5 + 5n + 13 Reorder the terms: 8 + 4n + -9n = -5 + 5n + 13 Combine like terms: 4n + -9n = -5n 8 + -5n = -5 + 5n + 13 Reorder the terms: 8 + -5n = -5 + 13 + 5n Combine like terms: -5 + 13 = 8 8 + -5n = 8 + 5n Add '-8' to each side of the equation. 8 + -8 + -5n = 8 + -8 + 5n Combine like terms: 8 + -8 = 0 0 + -5n = 8 + -8 + 5n -5n = 8 + -8 + 5n Combine like terms: 8 + -8 = 0 -5n = 0 + 5n -5n = 5n Solving -5n = 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -5n + -5n = 5n + -5n Combine like terms: -5n + -5n = -10n -10n = 5n + -5n Combine like terms: 5n + -5n = 0 -10n = 0 Divide each side by '-10'. n = 0.0 Simplifying n = 0.0
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