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Simplifying -7 + -4(-2n + -4) = 5n + 27 Reorder the terms: -7 + -4(-4 + -2n) = 5n + 27 -7 + (-4 * -4 + -2n * -4) = 5n + 27 -7 + (16 + 8n) = 5n + 27 Combine like terms: -7 + 16 = 9 9 + 8n = 5n + 27 Reorder the terms: 9 + 8n = 27 + 5n Solving 9 + 8n = 27 + 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. 9 + 8n + -5n = 27 + 5n + -5n Combine like terms: 8n + -5n = 3n 9 + 3n = 27 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 3n = 27 + 0 9 + 3n = 27 Add '-9' to each side of the equation. 9 + -9 + 3n = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 27 + -9 3n = 27 + -9 Combine like terms: 27 + -9 = 18 3n = 18 Divide each side by '3'. n = 6 Simplifying n = 6
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