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