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Simplifying 9(2n + -2) = (4n + 6) + 2 Reorder the terms: 9(-2 + 2n) = (4n + 6) + 2 (-2 * 9 + 2n * 9) = (4n + 6) + 2 (-18 + 18n) = (4n + 6) + 2 Reorder the terms: -18 + 18n = (6 + 4n) + 2 Remove parenthesis around (6 + 4n) -18 + 18n = 6 + 4n + 2 Reorder the terms: -18 + 18n = 6 + 2 + 4n Combine like terms: 6 + 2 = 8 -18 + 18n = 8 + 4n Solving -18 + 18n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -18 + 18n + -4n = 8 + 4n + -4n Combine like terms: 18n + -4n = 14n -18 + 14n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 14n = 8 + 0 -18 + 14n = 8 Add '18' to each side of the equation. -18 + 18 + 14n = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 14n = 8 + 18 14n = 8 + 18 Combine like terms: 8 + 18 = 26 14n = 26 Divide each side by '14'. n = 1.857142857 Simplifying n = 1.857142857
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