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Simplifying -4(3n + -1) = 2n + 32 Reorder the terms: -4(-1 + 3n) = 2n + 32 (-1 * -4 + 3n * -4) = 2n + 32 (4 + -12n) = 2n + 32 Reorder the terms: 4 + -12n = 32 + 2n Solving 4 + -12n = 32 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + -12n + -2n = 32 + 2n + -2n Combine like terms: -12n + -2n = -14n 4 + -14n = 32 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + -14n = 32 + 0 4 + -14n = 32 Add '-4' to each side of the equation. 4 + -4 + -14n = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -14n = 32 + -4 -14n = 32 + -4 Combine like terms: 32 + -4 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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