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Simplifying 12 + -1(8 + -8n) + 17n = 10 + 18(n + 1) 12 + (8 * -1 + -8n * -1) + 17n = 10 + 18(n + 1) 12 + (-8 + 8n) + 17n = 10 + 18(n + 1) Combine like terms: 12 + -8 = 4 4 + 8n + 17n = 10 + 18(n + 1) Combine like terms: 8n + 17n = 25n 4 + 25n = 10 + 18(n + 1) Reorder the terms: 4 + 25n = 10 + 18(1 + n) 4 + 25n = 10 + (1 * 18 + n * 18) 4 + 25n = 10 + (18 + 18n) Combine like terms: 10 + 18 = 28 4 + 25n = 28 + 18n Solving 4 + 25n = 28 + 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. 4 + 25n + -18n = 28 + 18n + -18n Combine like terms: 25n + -18n = 7n 4 + 7n = 28 + 18n + -18n Combine like terms: 18n + -18n = 0 4 + 7n = 28 + 0 4 + 7n = 28 Add '-4' to each side of the equation. 4 + -4 + 7n = 28 + -4 Combine like terms: 4 + -4 = 0 0 + 7n = 28 + -4 7n = 28 + -4 Combine like terms: 28 + -4 = 24 7n = 24 Divide each side by '7'. n = 3.428571429 Simplifying n = 3.428571429
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