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Simplifying 9(2n + -1) = (7n + 5) + 1 Reorder the terms: 9(-1 + 2n) = (7n + 5) + 1 (-1 * 9 + 2n * 9) = (7n + 5) + 1 (-9 + 18n) = (7n + 5) + 1 Reorder the terms: -9 + 18n = (5 + 7n) + 1 Remove parenthesis around (5 + 7n) -9 + 18n = 5 + 7n + 1 Reorder the terms: -9 + 18n = 5 + 1 + 7n Combine like terms: 5 + 1 = 6 -9 + 18n = 6 + 7n Solving -9 + 18n = 6 + 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. -9 + 18n + -7n = 6 + 7n + -7n Combine like terms: 18n + -7n = 11n -9 + 11n = 6 + 7n + -7n Combine like terms: 7n + -7n = 0 -9 + 11n = 6 + 0 -9 + 11n = 6 Add '9' to each side of the equation. -9 + 9 + 11n = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 11n = 6 + 9 11n = 6 + 9 Combine like terms: 6 + 9 = 15 11n = 15 Divide each side by '11'. n = 1.363636364 Simplifying n = 1.363636364
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