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Simplifying 6(3n + -3) = (3n + 7) + 4 Reorder the terms: 6(-3 + 3n) = (3n + 7) + 4 (-3 * 6 + 3n * 6) = (3n + 7) + 4 (-18 + 18n) = (3n + 7) + 4 Reorder the terms: -18 + 18n = (7 + 3n) + 4 Remove parenthesis around (7 + 3n) -18 + 18n = 7 + 3n + 4 Reorder the terms: -18 + 18n = 7 + 4 + 3n Combine like terms: 7 + 4 = 11 -18 + 18n = 11 + 3n Solving -18 + 18n = 11 + 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 = 11 + 3n + -3n Combine like terms: 18n + -3n = 15n -18 + 15n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 -18 + 15n = 11 + 0 -18 + 15n = 11 Add '18' to each side of the equation. -18 + 18 + 15n = 11 + 18 Combine like terms: -18 + 18 = 0 0 + 15n = 11 + 18 15n = 11 + 18 Combine like terms: 11 + 18 = 29 15n = 29 Divide each side by '15'. n = 1.933333333 Simplifying n = 1.933333333
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