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Simplifying 6(1 + 3n) + 2 = 44 (1 * 6 + 3n * 6) + 2 = 44 (6 + 18n) + 2 = 44 Reorder the terms: 6 + 2 + 18n = 44 Combine like terms: 6 + 2 = 8 8 + 18n = 44 Solving 8 + 18n = 44 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18n = 44 + -8 Combine like terms: 8 + -8 = 0 0 + 18n = 44 + -8 18n = 44 + -8 Combine like terms: 44 + -8 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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