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Simplifying -4(n + -3) = 8(4 + -3n) Reorder the terms: -4(-3 + n) = 8(4 + -3n) (-3 * -4 + n * -4) = 8(4 + -3n) (12 + -4n) = 8(4 + -3n) 12 + -4n = (4 * 8 + -3n * 8) 12 + -4n = (32 + -24n) Solving 12 + -4n = 32 + -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. 12 + -4n + 24n = 32 + -24n + 24n Combine like terms: -4n + 24n = 20n 12 + 20n = 32 + -24n + 24n Combine like terms: -24n + 24n = 0 12 + 20n = 32 + 0 12 + 20n = 32 Add '-12' to each side of the equation. 12 + -12 + 20n = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 20n = 32 + -12 20n = 32 + -12 Combine like terms: 32 + -12 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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