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Simplifying 4(n + 4) + 2n = -40 + -8n Reorder the terms: 4(4 + n) + 2n = -40 + -8n (4 * 4 + n * 4) + 2n = -40 + -8n (16 + 4n) + 2n = -40 + -8n Combine like terms: 4n + 2n = 6n 16 + 6n = -40 + -8n Solving 16 + 6n = -40 + -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. 16 + 6n + 8n = -40 + -8n + 8n Combine like terms: 6n + 8n = 14n 16 + 14n = -40 + -8n + 8n Combine like terms: -8n + 8n = 0 16 + 14n = -40 + 0 16 + 14n = -40 Add '-16' to each side of the equation. 16 + -16 + 14n = -40 + -16 Combine like terms: 16 + -16 = 0 0 + 14n = -40 + -16 14n = -40 + -16 Combine like terms: -40 + -16 = -56 14n = -56 Divide each side by '14'. n = -4 Simplifying n = -4
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