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Simplifying 4(n + 8) + 3(5n + 4) = 6 Reorder the terms: 4(8 + n) + 3(5n + 4) = 6 (8 * 4 + n * 4) + 3(5n + 4) = 6 (32 + 4n) + 3(5n + 4) = 6 Reorder the terms: 32 + 4n + 3(4 + 5n) = 6 32 + 4n + (4 * 3 + 5n * 3) = 6 32 + 4n + (12 + 15n) = 6 Reorder the terms: 32 + 12 + 4n + 15n = 6 Combine like terms: 32 + 12 = 44 44 + 4n + 15n = 6 Combine like terms: 4n + 15n = 19n 44 + 19n = 6 Solving 44 + 19n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 19n = 6 + -44 Combine like terms: 44 + -44 = 0 0 + 19n = 6 + -44 19n = 6 + -44 Combine like terms: 6 + -44 = -38 19n = -38 Divide each side by '19'. n = -2 Simplifying n = -2
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