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Simplifying 11 + -2(3n + -10) = 5(4 + -1n) Reorder the terms: 11 + -2(-10 + 3n) = 5(4 + -1n) 11 + (-10 * -2 + 3n * -2) = 5(4 + -1n) 11 + (20 + -6n) = 5(4 + -1n) Combine like terms: 11 + 20 = 31 31 + -6n = 5(4 + -1n) 31 + -6n = (4 * 5 + -1n * 5) 31 + -6n = (20 + -5n) Solving 31 + -6n = 20 + -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. 31 + -6n + 5n = 20 + -5n + 5n Combine like terms: -6n + 5n = -1n 31 + -1n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 31 + -1n = 20 + 0 31 + -1n = 20 Add '-31' to each side of the equation. 31 + -31 + -1n = 20 + -31 Combine like terms: 31 + -31 = 0 0 + -1n = 20 + -31 -1n = 20 + -31 Combine like terms: 20 + -31 = -11 -1n = -11 Divide each side by '-1'. n = 11 Simplifying n = 11
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