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Simplifying 4(5n + 7) + -3n = 3(4n + -9) Reorder the terms: 4(7 + 5n) + -3n = 3(4n + -9) (7 * 4 + 5n * 4) + -3n = 3(4n + -9) (28 + 20n) + -3n = 3(4n + -9) Combine like terms: 20n + -3n = 17n 28 + 17n = 3(4n + -9) Reorder the terms: 28 + 17n = 3(-9 + 4n) 28 + 17n = (-9 * 3 + 4n * 3) 28 + 17n = (-27 + 12n) Solving 28 + 17n = -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. 28 + 17n + -12n = -27 + 12n + -12n Combine like terms: 17n + -12n = 5n 28 + 5n = -27 + 12n + -12n Combine like terms: 12n + -12n = 0 28 + 5n = -27 + 0 28 + 5n = -27 Add '-28' to each side of the equation. 28 + -28 + 5n = -27 + -28 Combine like terms: 28 + -28 = 0 0 + 5n = -27 + -28 5n = -27 + -28 Combine like terms: -27 + -28 = -55 5n = -55 Divide each side by '5'. n = -11 Simplifying n = -11
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