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Simplifying 5n + 1 + 5n = -1 + -10n + 2 Reorder the terms: 1 + 5n + 5n = -1 + -10n + 2 Combine like terms: 5n + 5n = 10n 1 + 10n = -1 + -10n + 2 Reorder the terms: 1 + 10n = -1 + 2 + -10n Combine like terms: -1 + 2 = 1 1 + 10n = 1 + -10n Add '-1' to each side of the equation. 1 + -1 + 10n = 1 + -1 + -10n Combine like terms: 1 + -1 = 0 0 + 10n = 1 + -1 + -10n 10n = 1 + -1 + -10n Combine like terms: 1 + -1 = 0 10n = 0 + -10n 10n = -10n Solving 10n = -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. 10n + 10n = -10n + 10n Combine like terms: 10n + 10n = 20n 20n = -10n + 10n Combine like terms: -10n + 10n = 0 20n = 0 Divide each side by '20'. n = 0.0 Simplifying n = 0.0
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