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Simplifying 9(2n + -3) = (7n + 6) + 5 Reorder the terms: 9(-3 + 2n) = (7n + 6) + 5 (-3 * 9 + 2n * 9) = (7n + 6) + 5 (-27 + 18n) = (7n + 6) + 5 Reorder the terms: -27 + 18n = (6 + 7n) + 5 Remove parenthesis around (6 + 7n) -27 + 18n = 6 + 7n + 5 Reorder the terms: -27 + 18n = 6 + 5 + 7n Combine like terms: 6 + 5 = 11 -27 + 18n = 11 + 7n Solving -27 + 18n = 11 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -27 + 18n + -7n = 11 + 7n + -7n Combine like terms: 18n + -7n = 11n -27 + 11n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -27 + 11n = 11 + 0 -27 + 11n = 11 Add '27' to each side of the equation. -27 + 27 + 11n = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 11n = 11 + 27 11n = 11 + 27 Combine like terms: 11 + 27 = 38 11n = 38 Divide each side by '11'. n = 3.454545455 Simplifying n = 3.454545455
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