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Simplifying 10n + -8 = 13 + 3n Reorder the terms: -8 + 10n = 13 + 3n Solving -8 + 10n = 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. -8 + 10n + -3n = 13 + 3n + -3n Combine like terms: 10n + -3n = 7n -8 + 7n = 13 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 7n = 13 + 0 -8 + 7n = 13 Add '8' to each side of the equation. -8 + 8 + 7n = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7n = 13 + 8 7n = 13 + 8 Combine like terms: 13 + 8 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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