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Simplifying -2n + 2(n + -8) = 5n + -11 Reorder the terms: -2n + 2(-8 + n) = 5n + -11 -2n + (-8 * 2 + n * 2) = 5n + -11 -2n + (-16 + 2n) = 5n + -11 Reorder the terms: -16 + -2n + 2n = 5n + -11 Combine like terms: -2n + 2n = 0 -16 + 0 = 5n + -11 -16 = 5n + -11 Reorder the terms: -16 = -11 + 5n Solving -16 = -11 + 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. -16 + -5n = -11 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + -5n = -11 + 0 -16 + -5n = -11 Add '16' to each side of the equation. -16 + 16 + -5n = -11 + 16 Combine like terms: -16 + 16 = 0 0 + -5n = -11 + 16 -5n = -11 + 16 Combine like terms: -11 + 16 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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