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Simplifying 14 + -1(4 + -4n) + 18n = -6 + 18(n + 1) 14 + (4 * -1 + -4n * -1) + 18n = -6 + 18(n + 1) 14 + (-4 + 4n) + 18n = -6 + 18(n + 1) Combine like terms: 14 + -4 = 10 10 + 4n + 18n = -6 + 18(n + 1) Combine like terms: 4n + 18n = 22n 10 + 22n = -6 + 18(n + 1) Reorder the terms: 10 + 22n = -6 + 18(1 + n) 10 + 22n = -6 + (1 * 18 + n * 18) 10 + 22n = -6 + (18 + 18n) Combine like terms: -6 + 18 = 12 10 + 22n = 12 + 18n Solving 10 + 22n = 12 + 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. 10 + 22n + -18n = 12 + 18n + -18n Combine like terms: 22n + -18n = 4n 10 + 4n = 12 + 18n + -18n Combine like terms: 18n + -18n = 0 10 + 4n = 12 + 0 10 + 4n = 12 Add '-10' to each side of the equation. 10 + -10 + 4n = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = 12 + -10 4n = 12 + -10 Combine like terms: 12 + -10 = 2 4n = 2 Divide each side by '4'. n = 0.5 Simplifying n = 0.5
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