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Simplifying 8 + 2n + -2 = 5n + 11 + -2n Reorder the terms: 8 + -2 + 2n = 5n + 11 + -2n Combine like terms: 8 + -2 = 6 6 + 2n = 5n + 11 + -2n Reorder the terms: 6 + 2n = 11 + 5n + -2n Combine like terms: 5n + -2n = 3n 6 + 2n = 11 + 3n Solving 6 + 2n = 11 + 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. 6 + 2n + -3n = 11 + 3n + -3n Combine like terms: 2n + -3n = -1n 6 + -1n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 6 + -1n = 11 + 0 6 + -1n = 11 Add '-6' to each side of the equation. 6 + -6 + -1n = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -1n = 11 + -6 -1n = 11 + -6 Combine like terms: 11 + -6 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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