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Simplifying 6n + -1(8n + 18) = 5 + -1(5n + -2) Reorder the terms: 6n + -1(18 + 8n) = 5 + -1(5n + -2) 6n + (18 * -1 + 8n * -1) = 5 + -1(5n + -2) 6n + (-18 + -8n) = 5 + -1(5n + -2) Reorder the terms: -18 + 6n + -8n = 5 + -1(5n + -2) Combine like terms: 6n + -8n = -2n -18 + -2n = 5 + -1(5n + -2) Reorder the terms: -18 + -2n = 5 + -1(-2 + 5n) -18 + -2n = 5 + (-2 * -1 + 5n * -1) -18 + -2n = 5 + (2 + -5n) Combine like terms: 5 + 2 = 7 -18 + -2n = 7 + -5n Solving -18 + -2n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -18 + -2n + 5n = 7 + -5n + 5n Combine like terms: -2n + 5n = 3n -18 + 3n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 -18 + 3n = 7 + 0 -18 + 3n = 7 Add '18' to each side of the equation. -18 + 18 + 3n = 7 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = 7 + 18 3n = 7 + 18 Combine like terms: 7 + 18 = 25 3n = 25 Divide each side by '3'. n = 8.333333333 Simplifying n = 8.333333333
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