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Simplifying 5n + 30 = 2 + -3n + -7 Reorder the terms: 30 + 5n = 2 + -3n + -7 Reorder the terms: 30 + 5n = 2 + -7 + -3n Combine like terms: 2 + -7 = -5 30 + 5n = -5 + -3n Solving 30 + 5n = -5 + -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 = -5 + -3n + 3n Combine like terms: 5n + 3n = 8n 30 + 8n = -5 + -3n + 3n Combine like terms: -3n + 3n = 0 30 + 8n = -5 + 0 30 + 8n = -5 Add '-30' to each side of the equation. 30 + -30 + 8n = -5 + -30 Combine like terms: 30 + -30 = 0 0 + 8n = -5 + -30 8n = -5 + -30 Combine like terms: -5 + -30 = -35 8n = -35 Divide each side by '8'. n = -4.375 Simplifying n = -4.375
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