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