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Simplifying 4(2n + -1) + -3n = 2(n + 4) Reorder the terms: 4(-1 + 2n) + -3n = 2(n + 4) (-1 * 4 + 2n * 4) + -3n = 2(n + 4) (-4 + 8n) + -3n = 2(n + 4) Combine like terms: 8n + -3n = 5n -4 + 5n = 2(n + 4) Reorder the terms: -4 + 5n = 2(4 + n) -4 + 5n = (4 * 2 + n * 2) -4 + 5n = (8 + 2n) Solving -4 + 5n = 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. -4 + 5n + -2n = 8 + 2n + -2n Combine like terms: 5n + -2n = 3n -4 + 3n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -4 + 3n = 8 + 0 -4 + 3n = 8 Add '4' to each side of the equation. -4 + 4 + 3n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 3n = 8 + 4 3n = 8 + 4 Combine like terms: 8 + 4 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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