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Simplifying -4(8n + -6) = 8n + -16 Reorder the terms: -4(-6 + 8n) = 8n + -16 (-6 * -4 + 8n * -4) = 8n + -16 (24 + -32n) = 8n + -16 Reorder the terms: 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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