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Simplifying 4(2 + n) = -2(n + 4) + 4 (2 * 4 + n * 4) = -2(n + 4) + 4 (8 + 4n) = -2(n + 4) + 4 Reorder the terms: 8 + 4n = -2(4 + n) + 4 8 + 4n = (4 * -2 + n * -2) + 4 8 + 4n = (-8 + -2n) + 4 Reorder the terms: 8 + 4n = -8 + 4 + -2n Combine like terms: -8 + 4 = -4 8 + 4n = -4 + -2n Solving 8 + 4n = -4 + -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 = -4 + -2n + 2n Combine like terms: 4n + 2n = 6n 8 + 6n = -4 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 6n = -4 + 0 8 + 6n = -4 Add '-8' to each side of the equation. 8 + -8 + 6n = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 6n = -4 + -8 6n = -4 + -8 Combine like terms: -4 + -8 = -12 6n = -12 Divide each side by '6'. n = -2 Simplifying n = -2
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