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Simplifying 11n + -4(2n + -3) = 18 + 5(n + 2) Reorder the terms: 11n + -4(-3 + 2n) = 18 + 5(n + 2) 11n + (-3 * -4 + 2n * -4) = 18 + 5(n + 2) 11n + (12 + -8n) = 18 + 5(n + 2) Reorder the terms: 12 + 11n + -8n = 18 + 5(n + 2) Combine like terms: 11n + -8n = 3n 12 + 3n = 18 + 5(n + 2) Reorder the terms: 12 + 3n = 18 + 5(2 + n) 12 + 3n = 18 + (2 * 5 + n * 5) 12 + 3n = 18 + (10 + 5n) Combine like terms: 18 + 10 = 28 12 + 3n = 28 + 5n Solving 12 + 3n = 28 + 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. 12 + 3n + -5n = 28 + 5n + -5n Combine like terms: 3n + -5n = -2n 12 + -2n = 28 + 5n + -5n Combine like terms: 5n + -5n = 0 12 + -2n = 28 + 0 12 + -2n = 28 Add '-12' to each side of the equation. 12 + -12 + -2n = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 28 + -12 -2n = 28 + -12 Combine like terms: 28 + -12 = 16 -2n = 16 Divide each side by '-2'. n = -8 Simplifying n = -8
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