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Simplifying 3n + 1 + 4n = 5 + -3n + 10 Reorder the terms: 1 + 3n + 4n = 5 + -3n + 10 Combine like terms: 3n + 4n = 7n 1 + 7n = 5 + -3n + 10 Reorder the terms: 1 + 7n = 5 + 10 + -3n Combine like terms: 5 + 10 = 15 1 + 7n = 15 + -3n Solving 1 + 7n = 15 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 1 + 7n + 3n = 15 + -3n + 3n Combine like terms: 7n + 3n = 10n 1 + 10n = 15 + -3n + 3n Combine like terms: -3n + 3n = 0 1 + 10n = 15 + 0 1 + 10n = 15 Add '-1' to each side of the equation. 1 + -1 + 10n = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 10n = 15 + -1 10n = 15 + -1 Combine like terms: 15 + -1 = 14 10n = 14 Divide each side by '10'. n = 1.4 Simplifying n = 1.4
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