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Simplifying -2(n + -4) = 2(-4n + 7) + 3n Reorder the terms: -2(-4 + n) = 2(-4n + 7) + 3n (-4 * -2 + n * -2) = 2(-4n + 7) + 3n (8 + -2n) = 2(-4n + 7) + 3n Reorder the terms: 8 + -2n = 2(7 + -4n) + 3n 8 + -2n = (7 * 2 + -4n * 2) + 3n 8 + -2n = (14 + -8n) + 3n Combine like terms: -8n + 3n = -5n 8 + -2n = 14 + -5n Solving 8 + -2n = 14 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 8 + -2n + 5n = 14 + -5n + 5n Combine like terms: -2n + 5n = 3n 8 + 3n = 14 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 3n = 14 + 0 8 + 3n = 14 Add '-8' to each side of the equation. 8 + -8 + 3n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = 14 + -8 3n = 14 + -8 Combine like terms: 14 + -8 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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