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Simplifying 4 + 10n + -2 = 6n + 58 + -3n Reorder the terms: 4 + -2 + 10n = 6n + 58 + -3n Combine like terms: 4 + -2 = 2 2 + 10n = 6n + 58 + -3n Reorder the terms: 2 + 10n = 58 + 6n + -3n Combine like terms: 6n + -3n = 3n 2 + 10n = 58 + 3n Solving 2 + 10n = 58 + 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. 2 + 10n + -3n = 58 + 3n + -3n Combine like terms: 10n + -3n = 7n 2 + 7n = 58 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + 7n = 58 + 0 2 + 7n = 58 Add '-2' to each side of the equation. 2 + -2 + 7n = 58 + -2 Combine like terms: 2 + -2 = 0 0 + 7n = 58 + -2 7n = 58 + -2 Combine like terms: 58 + -2 = 56 7n = 56 Divide each side by '7'. n = 8 Simplifying n = 8
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