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Simplifying 8(5 + -1n) = 2n (5 * 8 + -1n * 8) = 2n (40 + -8n) = 2n Solving 40 + -8n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 40 + -8n + -2n = 2n + -2n Combine like terms: -8n + -2n = -10n 40 + -10n = 2n + -2n Combine like terms: 2n + -2n = 0 40 + -10n = 0 Add '-40' to each side of the equation. 40 + -40 + -10n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10n = 0 + -40 -10n = 0 + -40 Combine like terms: 0 + -40 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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