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Simplifying 3(4 + -1n) + -5n = 52 (4 * 3 + -1n * 3) + -5n = 52 (12 + -3n) + -5n = 52 Combine like terms: -3n + -5n = -8n 12 + -8n = 52 Solving 12 + -8n = 52 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -8n = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -8n = 52 + -12 -8n = 52 + -12 Combine like terms: 52 + -12 = 40 -8n = 40 Divide each side by '-8'. n = -5 Simplifying n = -5
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