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Simplifying 6(3n + -3) = (9n + 6) + 6 Reorder the terms: 6(-3 + 3n) = (9n + 6) + 6 (-3 * 6 + 3n * 6) = (9n + 6) + 6 (-18 + 18n) = (9n + 6) + 6 Reorder the terms: -18 + 18n = (6 + 9n) + 6 Remove parenthesis around (6 + 9n) -18 + 18n = 6 + 9n + 6 Reorder the terms: -18 + 18n = 6 + 6 + 9n Combine like terms: 6 + 6 = 12 -18 + 18n = 12 + 9n Solving -18 + 18n = 12 + 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. -18 + 18n + -9n = 12 + 9n + -9n Combine like terms: 18n + -9n = 9n -18 + 9n = 12 + 9n + -9n Combine like terms: 9n + -9n = 0 -18 + 9n = 12 + 0 -18 + 9n = 12 Add '18' to each side of the equation. -18 + 18 + 9n = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 9n = 12 + 18 9n = 12 + 18 Combine like terms: 12 + 18 = 30 9n = 30 Divide each side by '9'. n = 3.333333333 Simplifying n = 3.333333333
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