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Simplifying 9(2n + 3) = 8(4n + 4) + 5 Reorder the terms: 9(3 + 2n) = 8(4n + 4) + 5 (3 * 9 + 2n * 9) = 8(4n + 4) + 5 (27 + 18n) = 8(4n + 4) + 5 Reorder the terms: 27 + 18n = 8(4 + 4n) + 5 27 + 18n = (4 * 8 + 4n * 8) + 5 27 + 18n = (32 + 32n) + 5 Reorder the terms: 27 + 18n = 32 + 5 + 32n Combine like terms: 32 + 5 = 37 27 + 18n = 37 + 32n Solving 27 + 18n = 37 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 27 + 18n + -32n = 37 + 32n + -32n Combine like terms: 18n + -32n = -14n 27 + -14n = 37 + 32n + -32n Combine like terms: 32n + -32n = 0 27 + -14n = 37 + 0 27 + -14n = 37 Add '-27' to each side of the equation. 27 + -27 + -14n = 37 + -27 Combine like terms: 27 + -27 = 0 0 + -14n = 37 + -27 -14n = 37 + -27 Combine like terms: 37 + -27 = 10 -14n = 10 Divide each side by '-14'. n = -0.7142857143 Simplifying n = -0.7142857143
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