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Simplifying -8(4n + -3) = 4n + -12 Reorder the terms: -8(-3 + 4n) = 4n + -12 (-3 * -8 + 4n * -8) = 4n + -12 (24 + -32n) = 4n + -12 Reorder the terms: 24 + -32n = -12 + 4n Solving 24 + -32n = -12 + 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. 24 + -32n + -4n = -12 + 4n + -4n Combine like terms: -32n + -4n = -36n 24 + -36n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 24 + -36n = -12 + 0 24 + -36n = -12 Add '-24' to each side of the equation. 24 + -24 + -36n = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -36n = -12 + -24 -36n = -12 + -24 Combine like terms: -12 + -24 = -36 -36n = -36 Divide each side by '-36'. n = 1 Simplifying n = 1
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