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