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Simplifying 9(2n + -2) = (4n + 2) + 1 Reorder the terms: 9(-2 + 2n) = (4n + 2) + 1 (-2 * 9 + 2n * 9) = (4n + 2) + 1 (-18 + 18n) = (4n + 2) + 1 Reorder the terms: -18 + 18n = (2 + 4n) + 1 Remove parenthesis around (2 + 4n) -18 + 18n = 2 + 4n + 1 Reorder the terms: -18 + 18n = 2 + 1 + 4n Combine like terms: 2 + 1 = 3 -18 + 18n = 3 + 4n Solving -18 + 18n = 3 + 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 = 3 + 4n + -4n Combine like terms: 18n + -4n = 14n -18 + 14n = 3 + 4n + -4n Combine like terms: 4n + -4n = 0 -18 + 14n = 3 + 0 -18 + 14n = 3 Add '18' to each side of the equation. -18 + 18 + 14n = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 14n = 3 + 18 14n = 3 + 18 Combine like terms: 3 + 18 = 21 14n = 21 Divide each side by '14'. n = 1.5 Simplifying n = 1.5
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