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Simplifying 2(n + 8) = -32 + -2(n + -4) Reorder the terms: 2(8 + n) = -32 + -2(n + -4) (8 * 2 + n * 2) = -32 + -2(n + -4) (16 + 2n) = -32 + -2(n + -4) Reorder the terms: 16 + 2n = -32 + -2(-4 + n) 16 + 2n = -32 + (-4 * -2 + n * -2) 16 + 2n = -32 + (8 + -2n) Combine like terms: -32 + 8 = -24 16 + 2n = -24 + -2n Solving 16 + 2n = -24 + -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 + 2n + 2n = -24 + -2n + 2n Combine like terms: 2n + 2n = 4n 16 + 4n = -24 + -2n + 2n Combine like terms: -2n + 2n = 0 16 + 4n = -24 + 0 16 + 4n = -24 Add '-16' to each side of the equation. 16 + -16 + 4n = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = -24 + -16 4n = -24 + -16 Combine like terms: -24 + -16 = -40 4n = -40 Divide each side by '4'. n = -10 Simplifying n = -10
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