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Simplifying 6(3n + -1) = (9n + 4) + 1 Reorder the terms: 6(-1 + 3n) = (9n + 4) + 1 (-1 * 6 + 3n * 6) = (9n + 4) + 1 (-6 + 18n) = (9n + 4) + 1 Reorder the terms: -6 + 18n = (4 + 9n) + 1 Remove parenthesis around (4 + 9n) -6 + 18n = 4 + 9n + 1 Reorder the terms: -6 + 18n = 4 + 1 + 9n Combine like terms: 4 + 1 = 5 -6 + 18n = 5 + 9n Solving -6 + 18n = 5 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -6 + 18n + -9n = 5 + 9n + -9n Combine like terms: 18n + -9n = 9n -6 + 9n = 5 + 9n + -9n Combine like terms: 9n + -9n = 0 -6 + 9n = 5 + 0 -6 + 9n = 5 Add '6' to each side of the equation. -6 + 6 + 9n = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 9n = 5 + 6 9n = 5 + 6 Combine like terms: 5 + 6 = 11 9n = 11 Divide each side by '9'. n = 1.222222222 Simplifying n = 1.222222222
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