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Simplifying 2n + 8(4 + 3n) = -36 + -8n 2n + (4 * 8 + 3n * 8) = -36 + -8n 2n + (32 + 24n) = -36 + -8n Reorder the terms: 32 + 2n + 24n = -36 + -8n Combine like terms: 2n + 24n = 26n 32 + 26n = -36 + -8n Solving 32 + 26n = -36 + -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 + 26n + 8n = -36 + -8n + 8n Combine like terms: 26n + 8n = 34n 32 + 34n = -36 + -8n + 8n Combine like terms: -8n + 8n = 0 32 + 34n = -36 + 0 32 + 34n = -36 Add '-32' to each side of the equation. 32 + -32 + 34n = -36 + -32 Combine like terms: 32 + -32 = 0 0 + 34n = -36 + -32 34n = -36 + -32 Combine like terms: -36 + -32 = -68 34n = -68 Divide each side by '34'. n = -2 Simplifying n = -2
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