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Simplifying 6(n + -6) = 2(2n + 8) Reorder the terms: 6(-6 + n) = 2(2n + 8) (-6 * 6 + n * 6) = 2(2n + 8) (-36 + 6n) = 2(2n + 8) Reorder the terms: -36 + 6n = 2(8 + 2n) -36 + 6n = (8 * 2 + 2n * 2) -36 + 6n = (16 + 4n) Solving -36 + 6n = 16 + 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. -36 + 6n + -4n = 16 + 4n + -4n Combine like terms: 6n + -4n = 2n -36 + 2n = 16 + 4n + -4n Combine like terms: 4n + -4n = 0 -36 + 2n = 16 + 0 -36 + 2n = 16 Add '36' to each side of the equation. -36 + 36 + 2n = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 2n = 16 + 36 2n = 16 + 36 Combine like terms: 16 + 36 = 52 2n = 52 Divide each side by '2'. n = 26 Simplifying n = 26
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