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Simplifying 4(8n + 6) = -16 + -8n Reorder the terms: 4(6 + 8n) = -16 + -8n (6 * 4 + 8n * 4) = -16 + -8n (24 + 32n) = -16 + -8n Solving 24 + 32n = -16 + -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. 24 + 32n + 8n = -16 + -8n + 8n Combine like terms: 32n + 8n = 40n 24 + 40n = -16 + -8n + 8n Combine like terms: -8n + 8n = 0 24 + 40n = -16 + 0 24 + 40n = -16 Add '-24' to each side of the equation. 24 + -24 + 40n = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 40n = -16 + -24 40n = -16 + -24 Combine like terms: -16 + -24 = -40 40n = -40 Divide each side by '40'. n = -1 Simplifying n = -1
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