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Simplifying 3n + 2(n + 4) = 6(n + 2) + -20 Reorder the terms: 3n + 2(4 + n) = 6(n + 2) + -20 3n + (4 * 2 + n * 2) = 6(n + 2) + -20 3n + (8 + 2n) = 6(n + 2) + -20 Reorder the terms: 8 + 3n + 2n = 6(n + 2) + -20 Combine like terms: 3n + 2n = 5n 8 + 5n = 6(n + 2) + -20 Reorder the terms: 8 + 5n = 6(2 + n) + -20 8 + 5n = (2 * 6 + n * 6) + -20 8 + 5n = (12 + 6n) + -20 Reorder the terms: 8 + 5n = 12 + -20 + 6n Combine like terms: 12 + -20 = -8 8 + 5n = -8 + 6n Solving 8 + 5n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 8 + 5n + -6n = -8 + 6n + -6n Combine like terms: 5n + -6n = -1n 8 + -1n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 8 + -1n = -8 + 0 8 + -1n = -8 Add '-8' to each side of the equation. 8 + -8 + -1n = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -1n = -8 + -8 -1n = -8 + -8 Combine like terms: -8 + -8 = -16 -1n = -16 Divide each side by '-1'. n = 16 Simplifying n = 16
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