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Simplifying -5n + 2 = 11 + -5 + -8n + n Reorder the terms: 2 + -5n = 11 + -5 + -8n + n Combine like terms: 11 + -5 = 6 2 + -5n = 6 + -8n + n Combine like terms: -8n + n = -7n 2 + -5n = 6 + -7n Solving 2 + -5n = 6 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 2 + -5n + 7n = 6 + -7n + 7n Combine like terms: -5n + 7n = 2n 2 + 2n = 6 + -7n + 7n Combine like terms: -7n + 7n = 0 2 + 2n = 6 + 0 2 + 2n = 6 Add '-2' to each side of the equation. 2 + -2 + 2n = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 6 + -2 2n = 6 + -2 Combine like terms: 6 + -2 = 4 2n = 4 Divide each side by '2'. n = 2 Simplifying n = 2
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