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Simplifying 2n + 9 + 3n = 3(15n + 27) Reorder the terms: 9 + 2n + 3n = 3(15n + 27) Combine like terms: 2n + 3n = 5n 9 + 5n = 3(15n + 27) Reorder the terms: 9 + 5n = 3(27 + 15n) 9 + 5n = (27 * 3 + 15n * 3) 9 + 5n = (81 + 45n) Solving 9 + 5n = 81 + 45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45n' to each side of the equation. 9 + 5n + -45n = 81 + 45n + -45n Combine like terms: 5n + -45n = -40n 9 + -40n = 81 + 45n + -45n Combine like terms: 45n + -45n = 0 9 + -40n = 81 + 0 9 + -40n = 81 Add '-9' to each side of the equation. 9 + -9 + -40n = 81 + -9 Combine like terms: 9 + -9 = 0 0 + -40n = 81 + -9 -40n = 81 + -9 Combine like terms: 81 + -9 = 72 -40n = 72 Divide each side by '-40'. n = -1.8 Simplifying n = -1.8
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