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Simplifying 8(10 + -1n) = 10 + 2n (10 * 8 + -1n * 8) = 10 + 2n (80 + -8n) = 10 + 2n Solving 80 + -8n = 10 + 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. 80 + -8n + -2n = 10 + 2n + -2n Combine like terms: -8n + -2n = -10n 80 + -10n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 80 + -10n = 10 + 0 80 + -10n = 10 Add '-80' to each side of the equation. 80 + -80 + -10n = 10 + -80 Combine like terms: 80 + -80 = 0 0 + -10n = 10 + -80 -10n = 10 + -80 Combine like terms: 10 + -80 = -70 -10n = -70 Divide each side by '-10'. n = 7 Simplifying n = 7
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