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Simplifying 6(3n + -4) = (7n + 1) + 2 Reorder the terms: 6(-4 + 3n) = (7n + 1) + 2 (-4 * 6 + 3n * 6) = (7n + 1) + 2 (-24 + 18n) = (7n + 1) + 2 Reorder the terms: -24 + 18n = (1 + 7n) + 2 Remove parenthesis around (1 + 7n) -24 + 18n = 1 + 7n + 2 Reorder the terms: -24 + 18n = 1 + 2 + 7n Combine like terms: 1 + 2 = 3 -24 + 18n = 3 + 7n Solving -24 + 18n = 3 + 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. -24 + 18n + -7n = 3 + 7n + -7n Combine like terms: 18n + -7n = 11n -24 + 11n = 3 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + 11n = 3 + 0 -24 + 11n = 3 Add '24' to each side of the equation. -24 + 24 + 11n = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 11n = 3 + 24 11n = 3 + 24 Combine like terms: 3 + 24 = 27 11n = 27 Divide each side by '11'. n = 2.454545455 Simplifying n = 2.454545455
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