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