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Simplifying -3(1 + -1n) = -43 + 8n (1 * -3 + -1n * -3) = -43 + 8n (-3 + 3n) = -43 + 8n Solving -3 + 3n = -43 + 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. -3 + 3n + -8n = -43 + 8n + -8n Combine like terms: 3n + -8n = -5n -3 + -5n = -43 + 8n + -8n Combine like terms: 8n + -8n = 0 -3 + -5n = -43 + 0 -3 + -5n = -43 Add '3' to each side of the equation. -3 + 3 + -5n = -43 + 3 Combine like terms: -3 + 3 = 0 0 + -5n = -43 + 3 -5n = -43 + 3 Combine like terms: -43 + 3 = -40 -5n = -40 Divide each side by '-5'. n = 8 Simplifying n = 8
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