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Simplifying 5(n + -6) = 34 + -3n Reorder the terms: 5(-6 + n) = 34 + -3n (-6 * 5 + n * 5) = 34 + -3n (-30 + 5n) = 34 + -3n Solving -30 + 5n = 34 + -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. -30 + 5n + 3n = 34 + -3n + 3n Combine like terms: 5n + 3n = 8n -30 + 8n = 34 + -3n + 3n Combine like terms: -3n + 3n = 0 -30 + 8n = 34 + 0 -30 + 8n = 34 Add '30' to each side of the equation. -30 + 30 + 8n = 34 + 30 Combine like terms: -30 + 30 = 0 0 + 8n = 34 + 30 8n = 34 + 30 Combine like terms: 34 + 30 = 64 8n = 64 Divide each side by '8'. n = 8 Simplifying n = 8
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