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Simplifying 30 = 3 + 2(4n + 5) + -3n Reorder the terms: 30 = 3 + 2(5 + 4n) + -3n 30 = 3 + (5 * 2 + 4n * 2) + -3n 30 = 3 + (10 + 8n) + -3n Combine like terms: 3 + 10 = 13 30 = 13 + 8n + -3n Combine like terms: 8n + -3n = 5n 30 = 13 + 5n Solving 30 = 13 + 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. 30 + -5n = 13 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + -5n = 13 + 0 30 + -5n = 13 Add '-30' to each side of the equation. 30 + -30 + -5n = 13 + -30 Combine like terms: 30 + -30 = 0 0 + -5n = 13 + -30 -5n = 13 + -30 Combine like terms: 13 + -30 = -17 -5n = -17 Divide each side by '-5'. n = 3.4 Simplifying n = 3.4
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