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Simplifying 5(3n + 6) = 4(2n + 11) Reorder the terms: 5(6 + 3n) = 4(2n + 11) (6 * 5 + 3n * 5) = 4(2n + 11) (30 + 15n) = 4(2n + 11) Reorder the terms: 30 + 15n = 4(11 + 2n) 30 + 15n = (11 * 4 + 2n * 4) 30 + 15n = (44 + 8n) Solving 30 + 15n = 44 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 30 + 15n + -8n = 44 + 8n + -8n Combine like terms: 15n + -8n = 7n 30 + 7n = 44 + 8n + -8n Combine like terms: 8n + -8n = 0 30 + 7n = 44 + 0 30 + 7n = 44 Add '-30' to each side of the equation. 30 + -30 + 7n = 44 + -30 Combine like terms: 30 + -30 = 0 0 + 7n = 44 + -30 7n = 44 + -30 Combine like terms: 44 + -30 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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