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Simplifying 4(n + -4) + 2n = 2(n + 4) Reorder the terms: 4(-4 + n) + 2n = 2(n + 4) (-4 * 4 + n * 4) + 2n = 2(n + 4) (-16 + 4n) + 2n = 2(n + 4) Combine like terms: 4n + 2n = 6n -16 + 6n = 2(n + 4) Reorder the terms: -16 + 6n = 2(4 + n) -16 + 6n = (4 * 2 + n * 2) -16 + 6n = (8 + 2n) Solving -16 + 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. -16 + 6n + -2n = 8 + 2n + -2n Combine like terms: 6n + -2n = 4n -16 + 4n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -16 + 4n = 8 + 0 -16 + 4n = 8 Add '16' to each side of the equation. -16 + 16 + 4n = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 8 + 16 4n = 8 + 16 Combine like terms: 8 + 16 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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