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Simplifying -6(3n + 4) = 12n + 4(3n + 2) Reorder the terms: -6(4 + 3n) = 12n + 4(3n + 2) (4 * -6 + 3n * -6) = 12n + 4(3n + 2) (-24 + -18n) = 12n + 4(3n + 2) Reorder the terms: -24 + -18n = 12n + 4(2 + 3n) -24 + -18n = 12n + (2 * 4 + 3n * 4) -24 + -18n = 12n + (8 + 12n) Reorder the terms: -24 + -18n = 8 + 12n + 12n Combine like terms: 12n + 12n = 24n -24 + -18n = 8 + 24n Solving -24 + -18n = 8 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. -24 + -18n + -24n = 8 + 24n + -24n Combine like terms: -18n + -24n = -42n -24 + -42n = 8 + 24n + -24n Combine like terms: 24n + -24n = 0 -24 + -42n = 8 + 0 -24 + -42n = 8 Add '24' to each side of the equation. -24 + 24 + -42n = 8 + 24 Combine like terms: -24 + 24 = 0 0 + -42n = 8 + 24 -42n = 8 + 24 Combine like terms: 8 + 24 = 32 -42n = 32 Divide each side by '-42'. n = -0.7619047619 Simplifying n = -0.7619047619
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