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Simplifying -3(n + 5) + -5n = -5n + -39 Reorder the terms: -3(5 + n) + -5n = -5n + -39 (5 * -3 + n * -3) + -5n = -5n + -39 (-15 + -3n) + -5n = -5n + -39 Combine like terms: -3n + -5n = -8n -15 + -8n = -5n + -39 Reorder the terms: -15 + -8n = -39 + -5n Solving -15 + -8n = -39 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -15 + -8n + 5n = -39 + -5n + 5n Combine like terms: -8n + 5n = -3n -15 + -3n = -39 + -5n + 5n Combine like terms: -5n + 5n = 0 -15 + -3n = -39 + 0 -15 + -3n = -39 Add '15' to each side of the equation. -15 + 15 + -3n = -39 + 15 Combine like terms: -15 + 15 = 0 0 + -3n = -39 + 15 -3n = -39 + 15 Combine like terms: -39 + 15 = -24 -3n = -24 Divide each side by '-3'. n = 8 Simplifying n = 8
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