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Simplifying -4(-3n + -4) = 6n + -32 Reorder the terms: -4(-4 + -3n) = 6n + -32 (-4 * -4 + -3n * -4) = 6n + -32 (16 + 12n) = 6n + -32 Reorder the terms: 16 + 12n = -32 + 6n Solving 16 + 12n = -32 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 16 + 12n + -6n = -32 + 6n + -6n Combine like terms: 12n + -6n = 6n 16 + 6n = -32 + 6n + -6n Combine like terms: 6n + -6n = 0 16 + 6n = -32 + 0 16 + 6n = -32 Add '-16' to each side of the equation. 16 + -16 + 6n = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 6n = -32 + -16 6n = -32 + -16 Combine like terms: -32 + -16 = -48 6n = -48 Divide each side by '6'. n = -8 Simplifying n = -8
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