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Simplifying 4(5n + 7) + -3 = 3(4n + -9) Reorder the terms: 4(7 + 5n) + -3 = 3(4n + -9) (7 * 4 + 5n * 4) + -3 = 3(4n + -9) (28 + 20n) + -3 = 3(4n + -9) Reorder the terms: 28 + -3 + 20n = 3(4n + -9) Combine like terms: 28 + -3 = 25 25 + 20n = 3(4n + -9) Reorder the terms: 25 + 20n = 3(-9 + 4n) 25 + 20n = (-9 * 3 + 4n * 3) 25 + 20n = (-27 + 12n) Solving 25 + 20n = -27 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 25 + 20n + -12n = -27 + 12n + -12n Combine like terms: 20n + -12n = 8n 25 + 8n = -27 + 12n + -12n Combine like terms: 12n + -12n = 0 25 + 8n = -27 + 0 25 + 8n = -27 Add '-25' to each side of the equation. 25 + -25 + 8n = -27 + -25 Combine like terms: 25 + -25 = 0 0 + 8n = -27 + -25 8n = -27 + -25 Combine like terms: -27 + -25 = -52 8n = -52 Divide each side by '8'. n = -6.5 Simplifying n = -6.5
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