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Simplifying 12 + -8n = -5(n + -6) Reorder the terms: 12 + -8n = -5(-6 + n) 12 + -8n = (-6 * -5 + n * -5) 12 + -8n = (30 + -5n) Solving 12 + -8n = 30 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 12 + -8n + 5n = 30 + -5n + 5n Combine like terms: -8n + 5n = -3n 12 + -3n = 30 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + -3n = 30 + 0 12 + -3n = 30 Add '-12' to each side of the equation. 12 + -12 + -3n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -3n = 30 + -12 -3n = 30 + -12 Combine like terms: 30 + -12 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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