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Simplifying 6 + 3(6n + 4) = (4n + -6) + -7 Reorder the terms: 6 + 3(4 + 6n) = (4n + -6) + -7 6 + (4 * 3 + 6n * 3) = (4n + -6) + -7 6 + (12 + 18n) = (4n + -6) + -7 Combine like terms: 6 + 12 = 18 18 + 18n = (4n + -6) + -7 Reorder the terms: 18 + 18n = (-6 + 4n) + -7 Remove parenthesis around (-6 + 4n) 18 + 18n = -6 + 4n + -7 Reorder the terms: 18 + 18n = -6 + -7 + 4n Combine like terms: -6 + -7 = -13 18 + 18n = -13 + 4n Solving 18 + 18n = -13 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 18 + 18n + -4n = -13 + 4n + -4n Combine like terms: 18n + -4n = 14n 18 + 14n = -13 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + 14n = -13 + 0 18 + 14n = -13 Add '-18' to each side of the equation. 18 + -18 + 14n = -13 + -18 Combine like terms: 18 + -18 = 0 0 + 14n = -13 + -18 14n = -13 + -18 Combine like terms: -13 + -18 = -31 14n = -31 Divide each side by '14'. n = -2.214285714 Simplifying n = -2.214285714
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