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Simplifying 6(3n + -3) = (3n + 9) + 6 Reorder the terms: 6(-3 + 3n) = (3n + 9) + 6 (-3 * 6 + 3n * 6) = (3n + 9) + 6 (-18 + 18n) = (3n + 9) + 6 Reorder the terms: -18 + 18n = (9 + 3n) + 6 Remove parenthesis around (9 + 3n) -18 + 18n = 9 + 3n + 6 Reorder the terms: -18 + 18n = 9 + 6 + 3n Combine like terms: 9 + 6 = 15 -18 + 18n = 15 + 3n Solving -18 + 18n = 15 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -18 + 18n + -3n = 15 + 3n + -3n Combine like terms: 18n + -3n = 15n -18 + 15n = 15 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + 15n = 15 + 0 -18 + 15n = 15 Add '18' to each side of the equation. -18 + 18 + 15n = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 15n = 15 + 18 15n = 15 + 18 Combine like terms: 15 + 18 = 33 15n = 33 Divide each side by '15'. n = 2.2 Simplifying n = 2.2
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