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Simplifying 11 + -5n = -1(1 + 3n) + 2 11 + -5n = (1 * -1 + 3n * -1) + 2 11 + -5n = (-1 + -3n) + 2 Reorder the terms: 11 + -5n = -1 + 2 + -3n Combine like terms: -1 + 2 = 1 11 + -5n = 1 + -3n Solving 11 + -5n = 1 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 11 + -5n + 3n = 1 + -3n + 3n Combine like terms: -5n + 3n = -2n 11 + -2n = 1 + -3n + 3n Combine like terms: -3n + 3n = 0 11 + -2n = 1 + 0 11 + -2n = 1 Add '-11' to each side of the equation. 11 + -11 + -2n = 1 + -11 Combine like terms: 11 + -11 = 0 0 + -2n = 1 + -11 -2n = 1 + -11 Combine like terms: 1 + -11 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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