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Simplifying 7n + 4 + -3n + 5 = 6n + -5 + 4n Reorder the terms: 4 + 5 + 7n + -3n = 6n + -5 + 4n Combine like terms: 4 + 5 = 9 9 + 7n + -3n = 6n + -5 + 4n Combine like terms: 7n + -3n = 4n 9 + 4n = 6n + -5 + 4n Reorder the terms: 9 + 4n = -5 + 6n + 4n Combine like terms: 6n + 4n = 10n 9 + 4n = -5 + 10n Solving 9 + 4n = -5 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 9 + 4n + -10n = -5 + 10n + -10n Combine like terms: 4n + -10n = -6n 9 + -6n = -5 + 10n + -10n Combine like terms: 10n + -10n = 0 9 + -6n = -5 + 0 9 + -6n = -5 Add '-9' to each side of the equation. 9 + -9 + -6n = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -6n = -5 + -9 -6n = -5 + -9 Combine like terms: -5 + -9 = -14 -6n = -14 Divide each side by '-6'. n = 2.333333333 Simplifying n = 2.333333333
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