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Simplifying -8n + 4(1 + n) = -2 + -2n -8n + (1 * 4 + n * 4) = -2 + -2n -8n + (4 + 4n) = -2 + -2n Reorder the terms: 4 + -8n + 4n = -2 + -2n Combine like terms: -8n + 4n = -4n 4 + -4n = -2 + -2n Solving 4 + -4n = -2 + -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. 4 + -4n + 2n = -2 + -2n + 2n Combine like terms: -4n + 2n = -2n 4 + -2n = -2 + -2n + 2n Combine like terms: -2n + 2n = 0 4 + -2n = -2 + 0 4 + -2n = -2 Add '-4' to each side of the equation. 4 + -4 + -2n = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -2 + -4 -2n = -2 + -4 Combine like terms: -2 + -4 = -6 -2n = -6 Divide each side by '-2'. n = 3 Simplifying n = 3
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