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Simplifying 5 + 7n = 13 + -3n Solving 5 + 7n = 13 + -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. 5 + 7n + 3n = 13 + -3n + 3n Combine like terms: 7n + 3n = 10n 5 + 10n = 13 + -3n + 3n Combine like terms: -3n + 3n = 0 5 + 10n = 13 + 0 5 + 10n = 13 Add '-5' to each side of the equation. 5 + -5 + 10n = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 13 + -5 10n = 13 + -5 Combine like terms: 13 + -5 = 8 10n = 8 Divide each side by '10'. n = 0.8 Simplifying n = 0.8
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