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