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Simplifying 10 + -1(8 + -8n) + 18n = -10 + 18(n + 1) 10 + (8 * -1 + -8n * -1) + 18n = -10 + 18(n + 1) 10 + (-8 + 8n) + 18n = -10 + 18(n + 1) Combine like terms: 10 + -8 = 2 2 + 8n + 18n = -10 + 18(n + 1) Combine like terms: 8n + 18n = 26n 2 + 26n = -10 + 18(n + 1) Reorder the terms: 2 + 26n = -10 + 18(1 + n) 2 + 26n = -10 + (1 * 18 + n * 18) 2 + 26n = -10 + (18 + 18n) Combine like terms: -10 + 18 = 8 2 + 26n = 8 + 18n Solving 2 + 26n = 8 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 2 + 26n + -18n = 8 + 18n + -18n Combine like terms: 26n + -18n = 8n 2 + 8n = 8 + 18n + -18n Combine like terms: 18n + -18n = 0 2 + 8n = 8 + 0 2 + 8n = 8 Add '-2' to each side of the equation. 2 + -2 + 8n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 8n = 8 + -2 8n = 8 + -2 Combine like terms: 8 + -2 = 6 8n = 6 Divide each side by '8'. n = 0.75 Simplifying n = 0.75
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