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Simplifying 8(-4n + 2) = 8(n + -8) Reorder the terms: 8(2 + -4n) = 8(n + -8) (2 * 8 + -4n * 8) = 8(n + -8) (16 + -32n) = 8(n + -8) Reorder the terms: 16 + -32n = 8(-8 + n) 16 + -32n = (-8 * 8 + n * 8) 16 + -32n = (-64 + 8n) Solving 16 + -32n = -64 + 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. 16 + -32n + -8n = -64 + 8n + -8n Combine like terms: -32n + -8n = -40n 16 + -40n = -64 + 8n + -8n Combine like terms: 8n + -8n = 0 16 + -40n = -64 + 0 16 + -40n = -64 Add '-16' to each side of the equation. 16 + -16 + -40n = -64 + -16 Combine like terms: 16 + -16 = 0 0 + -40n = -64 + -16 -40n = -64 + -16 Combine like terms: -64 + -16 = -80 -40n = -80 Divide each side by '-40'. n = 2 Simplifying n = 2
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