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Simplifying 42 = 12 + 6(n + 3) Reorder the terms: 42 = 12 + 6(3 + n) 42 = 12 + (3 * 6 + n * 6) 42 = 12 + (18 + 6n) Combine like terms: 12 + 18 = 30 42 = 30 + 6n Solving 42 = 30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 42 + -6n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + -6n = 30 + 0 42 + -6n = 30 Add '-42' to each side of the equation. 42 + -42 + -6n = 30 + -42 Combine like terms: 42 + -42 = 0 0 + -6n = 30 + -42 -6n = 30 + -42 Combine like terms: 30 + -42 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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