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Simplifying 3(6n + 4) = 9n + 2(4n + 5) Reorder the terms: 3(4 + 6n) = 9n + 2(4n + 5) (4 * 3 + 6n * 3) = 9n + 2(4n + 5) (12 + 18n) = 9n + 2(4n + 5) Reorder the terms: 12 + 18n = 9n + 2(5 + 4n) 12 + 18n = 9n + (5 * 2 + 4n * 2) 12 + 18n = 9n + (10 + 8n) Reorder the terms: 12 + 18n = 10 + 9n + 8n Combine like terms: 9n + 8n = 17n 12 + 18n = 10 + 17n Solving 12 + 18n = 10 + 17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17n' to each side of the equation. 12 + 18n + -17n = 10 + 17n + -17n Combine like terms: 18n + -17n = 1n 12 + 1n = 10 + 17n + -17n Combine like terms: 17n + -17n = 0 12 + 1n = 10 + 0 12 + 1n = 10 Add '-12' to each side of the equation. 12 + -12 + 1n = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 10 + -12 1n = 10 + -12 Combine like terms: 10 + -12 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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