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Simplifying 4n + 12 = -1(8 + -8n) Reorder the terms: 12 + 4n = -1(8 + -8n) 12 + 4n = (8 * -1 + -8n * -1) 12 + 4n = (-8 + 8n) Solving 12 + 4n = -8 + 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. 12 + 4n + -8n = -8 + 8n + -8n Combine like terms: 4n + -8n = -4n 12 + -4n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 12 + -4n = -8 + 0 12 + -4n = -8 Add '-12' to each side of the equation. 12 + -12 + -4n = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -4n = -8 + -12 -4n = -8 + -12 Combine like terms: -8 + -12 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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