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Simplifying 2(2n + -3) + 5(n + 4) = -4(2n + 5) + 8 Reorder the terms: 2(-3 + 2n) + 5(n + 4) = -4(2n + 5) + 8 (-3 * 2 + 2n * 2) + 5(n + 4) = -4(2n + 5) + 8 (-6 + 4n) + 5(n + 4) = -4(2n + 5) + 8 Reorder the terms: -6 + 4n + 5(4 + n) = -4(2n + 5) + 8 -6 + 4n + (4 * 5 + n * 5) = -4(2n + 5) + 8 -6 + 4n + (20 + 5n) = -4(2n + 5) + 8 Reorder the terms: -6 + 20 + 4n + 5n = -4(2n + 5) + 8 Combine like terms: -6 + 20 = 14 14 + 4n + 5n = -4(2n + 5) + 8 Combine like terms: 4n + 5n = 9n 14 + 9n = -4(2n + 5) + 8 Reorder the terms: 14 + 9n = -4(5 + 2n) + 8 14 + 9n = (5 * -4 + 2n * -4) + 8 14 + 9n = (-20 + -8n) + 8 Reorder the terms: 14 + 9n = -20 + 8 + -8n Combine like terms: -20 + 8 = -12 14 + 9n = -12 + -8n Solving 14 + 9n = -12 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 14 + 9n + 8n = -12 + -8n + 8n Combine like terms: 9n + 8n = 17n 14 + 17n = -12 + -8n + 8n Combine like terms: -8n + 8n = 0 14 + 17n = -12 + 0 14 + 17n = -12 Add '-14' to each side of the equation. 14 + -14 + 17n = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 17n = -12 + -14 17n = -12 + -14 Combine like terms: -12 + -14 = -26 17n = -26 Divide each side by '17'. n = -1.529411765 Simplifying n = -1.529411765
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