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Simplifying 4(4 + 4n) + 6 = 118 (4 * 4 + 4n * 4) + 6 = 118 (16 + 16n) + 6 = 118 Reorder the terms: 16 + 6 + 16n = 118 Combine like terms: 16 + 6 = 22 22 + 16n = 118 Solving 22 + 16n = 118 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 16n = 118 + -22 Combine like terms: 22 + -22 = 0 0 + 16n = 118 + -22 16n = 118 + -22 Combine like terms: 118 + -22 = 96 16n = 96 Divide each side by '16'. n = 6 Simplifying n = 6
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