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Simplifying -4(-3n + -8) = 8(n + 2) Reorder the terms: -4(-8 + -3n) = 8(n + 2) (-8 * -4 + -3n * -4) = 8(n + 2) (32 + 12n) = 8(n + 2) Reorder the terms: 32 + 12n = 8(2 + n) 32 + 12n = (2 * 8 + n * 8) 32 + 12n = (16 + 8n) Solving 32 + 12n = 16 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 32 + 12n + -8n = 16 + 8n + -8n Combine like terms: 12n + -8n = 4n 32 + 4n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + 4n = 16 + 0 32 + 4n = 16 Add '-32' to each side of the equation. 32 + -32 + 4n = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 4n = 16 + -32 4n = 16 + -32 Combine like terms: 16 + -32 = -16 4n = -16 Divide each side by '4'. n = -4 Simplifying n = -4
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