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Simplifying -3n + -8(4n + 4) = 11 + 8n Reorder the terms: -3n + -8(4 + 4n) = 11 + 8n -3n + (4 * -8 + 4n * -8) = 11 + 8n -3n + (-32 + -32n) = 11 + 8n Reorder the terms: -32 + -3n + -32n = 11 + 8n Combine like terms: -3n + -32n = -35n -32 + -35n = 11 + 8n Solving -32 + -35n = 11 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -32 + -35n + -8n = 11 + 8n + -8n Combine like terms: -35n + -8n = -43n -32 + -43n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -43n = 11 + 0 -32 + -43n = 11 Add '32' to each side of the equation. -32 + 32 + -43n = 11 + 32 Combine like terms: -32 + 32 = 0 0 + -43n = 11 + 32 -43n = 11 + 32 Combine like terms: 11 + 32 = 43 -43n = 43 Divide each side by '-43'. n = -1 Simplifying n = -1
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