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Simplifying 5n + -5 = -3n + 27 Reorder the terms: -5 + 5n = -3n + 27 Reorder the terms: -5 + 5n = 27 + -3n Solving -5 + 5n = 27 + -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. -5 + 5n + 3n = 27 + -3n + 3n Combine like terms: 5n + 3n = 8n -5 + 8n = 27 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + 8n = 27 + 0 -5 + 8n = 27 Add '5' to each side of the equation. -5 + 5 + 8n = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8n = 27 + 5 8n = 27 + 5 Combine like terms: 27 + 5 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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