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