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Simplifying -8(7 + -1n) + -1(n + 4) = -2n + 5n (7 * -8 + -1n * -8) + -1(n + 4) = -2n + 5n (-56 + 8n) + -1(n + 4) = -2n + 5n Reorder the terms: -56 + 8n + -1(4 + n) = -2n + 5n -56 + 8n + (4 * -1 + n * -1) = -2n + 5n -56 + 8n + (-4 + -1n) = -2n + 5n Reorder the terms: -56 + -4 + 8n + -1n = -2n + 5n Combine like terms: -56 + -4 = -60 -60 + 8n + -1n = -2n + 5n Combine like terms: 8n + -1n = 7n -60 + 7n = -2n + 5n Combine like terms: -2n + 5n = 3n -60 + 7n = 3n Solving -60 + 7n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -60 + 7n + -3n = 3n + -3n Combine like terms: 7n + -3n = 4n -60 + 4n = 3n + -3n Combine like terms: 3n + -3n = 0 -60 + 4n = 0 Add '60' to each side of the equation. -60 + 60 + 4n = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 4n = 0 + 60 4n = 0 + 60 Combine like terms: 0 + 60 = 60 4n = 60 Divide each side by '4'. n = 15 Simplifying n = 15
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