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Simplifying 9(2n + -1) = (2n + 4) + 3 Reorder the terms: 9(-1 + 2n) = (2n + 4) + 3 (-1 * 9 + 2n * 9) = (2n + 4) + 3 (-9 + 18n) = (2n + 4) + 3 Reorder the terms: -9 + 18n = (4 + 2n) + 3 Remove parenthesis around (4 + 2n) -9 + 18n = 4 + 2n + 3 Reorder the terms: -9 + 18n = 4 + 3 + 2n Combine like terms: 4 + 3 = 7 -9 + 18n = 7 + 2n Solving -9 + 18n = 7 + 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. -9 + 18n + -2n = 7 + 2n + -2n Combine like terms: 18n + -2n = 16n -9 + 16n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + 16n = 7 + 0 -9 + 16n = 7 Add '9' to each side of the equation. -9 + 9 + 16n = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 16n = 7 + 9 16n = 7 + 9 Combine like terms: 7 + 9 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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