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Simplifying -6(3n + 4) = 3n + 39 Reorder the terms: -6(4 + 3n) = 3n + 39 (4 * -6 + 3n * -6) = 3n + 39 (-24 + -18n) = 3n + 39 Reorder the terms: -24 + -18n = 39 + 3n Solving -24 + -18n = 39 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -24 + -18n + -3n = 39 + 3n + -3n Combine like terms: -18n + -3n = -21n -24 + -21n = 39 + 3n + -3n Combine like terms: 3n + -3n = 0 -24 + -21n = 39 + 0 -24 + -21n = 39 Add '24' to each side of the equation. -24 + 24 + -21n = 39 + 24 Combine like terms: -24 + 24 = 0 0 + -21n = 39 + 24 -21n = 39 + 24 Combine like terms: 39 + 24 = 63 -21n = 63 Divide each side by '-21'. n = -3 Simplifying n = -3
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