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Simplifying 20 + 45n = 12n + 270 Reorder the terms: 20 + 45n = 270 + 12n Solving 20 + 45n = 270 + 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. 20 + 45n + -12n = 270 + 12n + -12n Combine like terms: 45n + -12n = 33n 20 + 33n = 270 + 12n + -12n Combine like terms: 12n + -12n = 0 20 + 33n = 270 + 0 20 + 33n = 270 Add '-20' to each side of the equation. 20 + -20 + 33n = 270 + -20 Combine like terms: 20 + -20 = 0 0 + 33n = 270 + -20 33n = 270 + -20 Combine like terms: 270 + -20 = 250 33n = 250 Divide each side by '33'. n = 7.575757576 Simplifying n = 7.575757576
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