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Simplifying -4(6n + -3) = -4(5 + 7n) Reorder the terms: -4(-3 + 6n) = -4(5 + 7n) (-3 * -4 + 6n * -4) = -4(5 + 7n) (12 + -24n) = -4(5 + 7n) 12 + -24n = (5 * -4 + 7n * -4) 12 + -24n = (-20 + -28n) Solving 12 + -24n = -20 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 12 + -24n + 28n = -20 + -28n + 28n Combine like terms: -24n + 28n = 4n 12 + 4n = -20 + -28n + 28n Combine like terms: -28n + 28n = 0 12 + 4n = -20 + 0 12 + 4n = -20 Add '-12' to each side of the equation. 12 + -12 + 4n = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = -20 + -12 4n = -20 + -12 Combine like terms: -20 + -12 = -32 4n = -32 Divide each side by '4'. n = -8 Simplifying n = -8
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