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Simplifying 9(2n + -2) = (7n + 7) + 6 Reorder the terms: 9(-2 + 2n) = (7n + 7) + 6 (-2 * 9 + 2n * 9) = (7n + 7) + 6 (-18 + 18n) = (7n + 7) + 6 Reorder the terms: -18 + 18n = (7 + 7n) + 6 Remove parenthesis around (7 + 7n) -18 + 18n = 7 + 7n + 6 Reorder the terms: -18 + 18n = 7 + 6 + 7n Combine like terms: 7 + 6 = 13 -18 + 18n = 13 + 7n Solving -18 + 18n = 13 + 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. -18 + 18n + -7n = 13 + 7n + -7n Combine like terms: 18n + -7n = 11n -18 + 11n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -18 + 11n = 13 + 0 -18 + 11n = 13 Add '18' to each side of the equation. -18 + 18 + 11n = 13 + 18 Combine like terms: -18 + 18 = 0 0 + 11n = 13 + 18 11n = 13 + 18 Combine like terms: 13 + 18 = 31 11n = 31 Divide each side by '11'. n = 2.818181818 Simplifying n = 2.818181818
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