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Simplifying 6(3n + -3) = (7n + 4) + 1 Reorder the terms: 6(-3 + 3n) = (7n + 4) + 1 (-3 * 6 + 3n * 6) = (7n + 4) + 1 (-18 + 18n) = (7n + 4) + 1 Reorder the terms: -18 + 18n = (4 + 7n) + 1 Remove parenthesis around (4 + 7n) -18 + 18n = 4 + 7n + 1 Reorder the terms: -18 + 18n = 4 + 1 + 7n Combine like terms: 4 + 1 = 5 -18 + 18n = 5 + 7n Solving -18 + 18n = 5 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -18 + 18n + -7n = 5 + 7n + -7n Combine like terms: 18n + -7n = 11n -18 + 11n = 5 + 7n + -7n Combine like terms: 7n + -7n = 0 -18 + 11n = 5 + 0 -18 + 11n = 5 Add '18' to each side of the equation. -18 + 18 + 11n = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 11n = 5 + 18 11n = 5 + 18 Combine like terms: 5 + 18 = 23 11n = 23 Divide each side by '11'. n = 2.090909091 Simplifying n = 2.090909091
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