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Simplifying 4(n + 1) + 2n + 3 = 55 Reorder the terms: 4(1 + n) + 2n + 3 = 55 (1 * 4 + n * 4) + 2n + 3 = 55 (4 + 4n) + 2n + 3 = 55 Reorder the terms: 4 + 3 + 4n + 2n = 55 Combine like terms: 4 + 3 = 7 7 + 4n + 2n = 55 Combine like terms: 4n + 2n = 6n 7 + 6n = 55 Solving 7 + 6n = 55 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6n = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 6n = 55 + -7 6n = 55 + -7 Combine like terms: 55 + -7 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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