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Simplifying -5(n + 2) + 11 = -2n + -11 Reorder the terms: -5(2 + n) + 11 = -2n + -11 (2 * -5 + n * -5) + 11 = -2n + -11 (-10 + -5n) + 11 = -2n + -11 Reorder the terms: -10 + 11 + -5n = -2n + -11 Combine like terms: -10 + 11 = 1 1 + -5n = -2n + -11 Reorder the terms: 1 + -5n = -11 + -2n Solving 1 + -5n = -11 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 1 + -5n + 2n = -11 + -2n + 2n Combine like terms: -5n + 2n = -3n 1 + -3n = -11 + -2n + 2n Combine like terms: -2n + 2n = 0 1 + -3n = -11 + 0 1 + -3n = -11 Add '-1' to each side of the equation. 1 + -1 + -3n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -11 + -1 -3n = -11 + -1 Combine like terms: -11 + -1 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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