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Simplifying 15(n + 2) = 5(n + 4) + 2 Reorder the terms: 15(2 + n) = 5(n + 4) + 2 (2 * 15 + n * 15) = 5(n + 4) + 2 (30 + 15n) = 5(n + 4) + 2 Reorder the terms: 30 + 15n = 5(4 + n) + 2 30 + 15n = (4 * 5 + n * 5) + 2 30 + 15n = (20 + 5n) + 2 Reorder the terms: 30 + 15n = 20 + 2 + 5n Combine like terms: 20 + 2 = 22 30 + 15n = 22 + 5n Solving 30 + 15n = 22 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 30 + 15n + -5n = 22 + 5n + -5n Combine like terms: 15n + -5n = 10n 30 + 10n = 22 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + 10n = 22 + 0 30 + 10n = 22 Add '-30' to each side of the equation. 30 + -30 + 10n = 22 + -30 Combine like terms: 30 + -30 = 0 0 + 10n = 22 + -30 10n = 22 + -30 Combine like terms: 22 + -30 = -8 10n = -8 Divide each side by '10'. n = -0.8 Simplifying n = -0.8
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