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Simplifying 1 + -4n = -13 + 8n + 2n Combine like terms: 8n + 2n = 10n 1 + -4n = -13 + 10n Solving 1 + -4n = -13 + 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. 1 + -4n + -10n = -13 + 10n + -10n Combine like terms: -4n + -10n = -14n 1 + -14n = -13 + 10n + -10n Combine like terms: 10n + -10n = 0 1 + -14n = -13 + 0 1 + -14n = -13 Add '-1' to each side of the equation. 1 + -1 + -14n = -13 + -1 Combine like terms: 1 + -1 = 0 0 + -14n = -13 + -1 -14n = -13 + -1 Combine like terms: -13 + -1 = -14 -14n = -14 Divide each side by '-14'. n = 1 Simplifying n = 1
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