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Simplifying 6n + -1 = 2(2n + 4) Reorder the terms: -1 + 6n = 2(2n + 4) Reorder the terms: -1 + 6n = 2(4 + 2n) -1 + 6n = (4 * 2 + 2n * 2) -1 + 6n = (8 + 4n) Solving -1 + 6n = 8 + 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. -1 + 6n + -4n = 8 + 4n + -4n Combine like terms: 6n + -4n = 2n -1 + 2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -1 + 2n = 8 + 0 -1 + 2n = 8 Add '1' to each side of the equation. -1 + 1 + 2n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 8 + 1 2n = 8 + 1 Combine like terms: 8 + 1 = 9 2n = 9 Divide each side by '2'. n = 4.5 Simplifying n = 4.5
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