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Simplifying -4(5 + -2n) + 8(3n + -4) = 2n + 4n (5 * -4 + -2n * -4) + 8(3n + -4) = 2n + 4n (-20 + 8n) + 8(3n + -4) = 2n + 4n Reorder the terms: -20 + 8n + 8(-4 + 3n) = 2n + 4n -20 + 8n + (-4 * 8 + 3n * 8) = 2n + 4n -20 + 8n + (-32 + 24n) = 2n + 4n Reorder the terms: -20 + -32 + 8n + 24n = 2n + 4n Combine like terms: -20 + -32 = -52 -52 + 8n + 24n = 2n + 4n Combine like terms: 8n + 24n = 32n -52 + 32n = 2n + 4n Combine like terms: 2n + 4n = 6n -52 + 32n = 6n Solving -52 + 32n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -52 + 32n + -6n = 6n + -6n Combine like terms: 32n + -6n = 26n -52 + 26n = 6n + -6n Combine like terms: 6n + -6n = 0 -52 + 26n = 0 Add '52' to each side of the equation. -52 + 52 + 26n = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 26n = 0 + 52 26n = 0 + 52 Combine like terms: 0 + 52 = 52 26n = 52 Divide each side by '26'. n = 2 Simplifying n = 2
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