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Simplifying 4 + 2n + -1 = 8n + 11 + -4n Reorder the terms: 4 + -1 + 2n = 8n + 11 + -4n Combine like terms: 4 + -1 = 3 3 + 2n = 8n + 11 + -4n Reorder the terms: 3 + 2n = 11 + 8n + -4n Combine like terms: 8n + -4n = 4n 3 + 2n = 11 + 4n Solving 3 + 2n = 11 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 2n + -4n = 11 + 4n + -4n Combine like terms: 2n + -4n = -2n 3 + -2n = 11 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -2n = 11 + 0 3 + -2n = 11 Add '-3' to each side of the equation. 3 + -3 + -2n = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 11 + -3 -2n = 11 + -3 Combine like terms: 11 + -3 = 8 -2n = 8 Divide each side by '-2'. n = -4 Simplifying n = -4
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