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Simplifying -5(-1n + -2) = -3n + -54 Reorder the terms: -5(-2 + -1n) = -3n + -54 (-2 * -5 + -1n * -5) = -3n + -54 (10 + 5n) = -3n + -54 Reorder the terms: 10 + 5n = -54 + -3n Solving 10 + 5n = -54 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 10 + 5n + 3n = -54 + -3n + 3n Combine like terms: 5n + 3n = 8n 10 + 8n = -54 + -3n + 3n Combine like terms: -3n + 3n = 0 10 + 8n = -54 + 0 10 + 8n = -54 Add '-10' to each side of the equation. 10 + -10 + 8n = -54 + -10 Combine like terms: 10 + -10 = 0 0 + 8n = -54 + -10 8n = -54 + -10 Combine like terms: -54 + -10 = -64 8n = -64 Divide each side by '8'. n = -8 Simplifying n = -8
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