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Simplifying 6(3n + -5) = (7n + 6) + 3 Reorder the terms: 6(-5 + 3n) = (7n + 6) + 3 (-5 * 6 + 3n * 6) = (7n + 6) + 3 (-30 + 18n) = (7n + 6) + 3 Reorder the terms: -30 + 18n = (6 + 7n) + 3 Remove parenthesis around (6 + 7n) -30 + 18n = 6 + 7n + 3 Reorder the terms: -30 + 18n = 6 + 3 + 7n Combine like terms: 6 + 3 = 9 -30 + 18n = 9 + 7n Solving -30 + 18n = 9 + 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. -30 + 18n + -7n = 9 + 7n + -7n Combine like terms: 18n + -7n = 11n -30 + 11n = 9 + 7n + -7n Combine like terms: 7n + -7n = 0 -30 + 11n = 9 + 0 -30 + 11n = 9 Add '30' to each side of the equation. -30 + 30 + 11n = 9 + 30 Combine like terms: -30 + 30 = 0 0 + 11n = 9 + 30 11n = 9 + 30 Combine like terms: 9 + 30 = 39 11n = 39 Divide each side by '11'. n = 3.545454545 Simplifying n = 3.545454545
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