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Simplifying 6(3 + 4n) + -2 = 112 (3 * 6 + 4n * 6) + -2 = 112 (18 + 24n) + -2 = 112 Reorder the terms: 18 + -2 + 24n = 112 Combine like terms: 18 + -2 = 16 16 + 24n = 112 Solving 16 + 24n = 112 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 24n = 112 + -16 Combine like terms: 16 + -16 = 0 0 + 24n = 112 + -16 24n = 112 + -16 Combine like terms: 112 + -16 = 96 24n = 96 Divide each side by '24'. n = 4 Simplifying n = 4
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