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Simplifying 6(3n + -1) = (7n + 4) + 7 Reorder the terms: 6(-1 + 3n) = (7n + 4) + 7 (-1 * 6 + 3n * 6) = (7n + 4) + 7 (-6 + 18n) = (7n + 4) + 7 Reorder the terms: -6 + 18n = (4 + 7n) + 7 Remove parenthesis around (4 + 7n) -6 + 18n = 4 + 7n + 7 Reorder the terms: -6 + 18n = 4 + 7 + 7n Combine like terms: 4 + 7 = 11 -6 + 18n = 11 + 7n Solving -6 + 18n = 11 + 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. -6 + 18n + -7n = 11 + 7n + -7n Combine like terms: 18n + -7n = 11n -6 + 11n = 11 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + 11n = 11 + 0 -6 + 11n = 11 Add '6' to each side of the equation. -6 + 6 + 11n = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 11n = 11 + 6 11n = 11 + 6 Combine like terms: 11 + 6 = 17 11n = 17 Divide each side by '11'. n = 1.545454545 Simplifying n = 1.545454545
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