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Simplifying 9(2n + -2) = (2n + 6) + 5 Reorder the terms: 9(-2 + 2n) = (2n + 6) + 5 (-2 * 9 + 2n * 9) = (2n + 6) + 5 (-18 + 18n) = (2n + 6) + 5 Reorder the terms: -18 + 18n = (6 + 2n) + 5 Remove parenthesis around (6 + 2n) -18 + 18n = 6 + 2n + 5 Reorder the terms: -18 + 18n = 6 + 5 + 2n Combine like terms: 6 + 5 = 11 -18 + 18n = 11 + 2n Solving -18 + 18n = 11 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -18 + 18n + -2n = 11 + 2n + -2n Combine like terms: 18n + -2n = 16n -18 + 16n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -18 + 16n = 11 + 0 -18 + 16n = 11 Add '18' to each side of the equation. -18 + 18 + 16n = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 16n = 11 + 18 16n = 11 + 18 Combine like terms: 11 + 18 = 29 16n = 29 Divide each side by '16'. n = 1.8125 Simplifying n = 1.8125
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