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Simplifying 6n + -8 = 2(2n + 1) Reorder the terms: -8 + 6n = 2(2n + 1) Reorder the terms: -8 + 6n = 2(1 + 2n) -8 + 6n = (1 * 2 + 2n * 2) -8 + 6n = (2 + 4n) Solving -8 + 6n = 2 + 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 + 6n + -4n = 2 + 4n + -4n Combine like terms: 6n + -4n = 2n -8 + 2n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 -8 + 2n = 2 + 0 -8 + 2n = 2 Add '8' to each side of the equation. -8 + 8 + 2n = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 2 + 8 2n = 2 + 8 Combine like terms: 2 + 8 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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