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Simplifying 6(n + -1) = 4n + 8 Reorder the terms: 6(-1 + n) = 4n + 8 (-1 * 6 + n * 6) = 4n + 8 (-6 + 6n) = 4n + 8 Reorder the terms: -6 + 6n = 8 + 4n Solving -6 + 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. -6 + 6n + -4n = 8 + 4n + -4n Combine like terms: 6n + -4n = 2n -6 + 2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + 2n = 8 + 0 -6 + 2n = 8 Add '6' to each side of the equation. -6 + 6 + 2n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = 8 + 6 2n = 8 + 6 Combine like terms: 8 + 6 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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