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Simplifying 4(n + 4) = -32 + -2n Reorder the terms: 4(4 + n) = -32 + -2n (4 * 4 + n * 4) = -32 + -2n (16 + 4n) = -32 + -2n Solving 16 + 4n = -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. 16 + 4n + 2n = -32 + -2n + 2n Combine like terms: 4n + 2n = 6n 16 + 6n = -32 + -2n + 2n Combine like terms: -2n + 2n = 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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