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Simplifying 6(3n + -5) = (7n + 6) + 2 Reorder the terms: 6(-5 + 3n) = (7n + 6) + 2 (-5 * 6 + 3n * 6) = (7n + 6) + 2 (-30 + 18n) = (7n + 6) + 2 Reorder the terms: -30 + 18n = (6 + 7n) + 2 Remove parenthesis around (6 + 7n) -30 + 18n = 6 + 7n + 2 Reorder the terms: -30 + 18n = 6 + 2 + 7n Combine like terms: 6 + 2 = 8 -30 + 18n = 8 + 7n Solving -30 + 18n = 8 + 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 = 8 + 7n + -7n Combine like terms: 18n + -7n = 11n -30 + 11n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 -30 + 11n = 8 + 0 -30 + 11n = 8 Add '30' to each side of the equation. -30 + 30 + 11n = 8 + 30 Combine like terms: -30 + 30 = 0 0 + 11n = 8 + 30 11n = 8 + 30 Combine like terms: 8 + 30 = 38 11n = 38 Divide each side by '11'. n = 3.454545455 Simplifying n = 3.454545455
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