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Simplifying 2(3n + 1) + 4n + 5 = 87 Reorder the terms: 2(1 + 3n) + 4n + 5 = 87 (1 * 2 + 3n * 2) + 4n + 5 = 87 (2 + 6n) + 4n + 5 = 87 Reorder the terms: 2 + 5 + 6n + 4n = 87 Combine like terms: 2 + 5 = 7 7 + 6n + 4n = 87 Combine like terms: 6n + 4n = 10n 7 + 10n = 87 Solving 7 + 10n = 87 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 + 10n = 87 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 87 + -7 10n = 87 + -7 Combine like terms: 87 + -7 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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