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Simplifying 5(1 + 2n) + -8n = 11 + -1n (1 * 5 + 2n * 5) + -8n = 11 + -1n (5 + 10n) + -8n = 11 + -1n Combine like terms: 10n + -8n = 2n 5 + 2n = 11 + -1n Solving 5 + 2n = 11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 5 + 2n + n = 11 + -1n + n Combine like terms: 2n + n = 3n 5 + 3n = 11 + -1n + n Combine like terms: -1n + n = 0 5 + 3n = 11 + 0 5 + 3n = 11 Add '-5' to each side of the equation. 5 + -5 + 3n = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 11 + -5 3n = 11 + -5 Combine like terms: 11 + -5 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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