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Simplifying -5n + 4(1 + -1n) = -8(n + 7) + 3n -5n + (1 * 4 + -1n * 4) = -8(n + 7) + 3n -5n + (4 + -4n) = -8(n + 7) + 3n Reorder the terms: 4 + -5n + -4n = -8(n + 7) + 3n Combine like terms: -5n + -4n = -9n 4 + -9n = -8(n + 7) + 3n Reorder the terms: 4 + -9n = -8(7 + n) + 3n 4 + -9n = (7 * -8 + n * -8) + 3n 4 + -9n = (-56 + -8n) + 3n Combine like terms: -8n + 3n = -5n 4 + -9n = -56 + -5n Solving 4 + -9n = -56 + -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. 4 + -9n + 5n = -56 + -5n + 5n Combine like terms: -9n + 5n = -4n 4 + -4n = -56 + -5n + 5n Combine like terms: -5n + 5n = 0 4 + -4n = -56 + 0 4 + -4n = -56 Add '-4' to each side of the equation. 4 + -4 + -4n = -56 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = -56 + -4 -4n = -56 + -4 Combine like terms: -56 + -4 = -60 -4n = -60 Divide each side by '-4'. n = 15 Simplifying n = 15
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