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Simplifying 8n + -8 + -6n + -12 = 2n + 4n Reorder the terms: -8 + -12 + 8n + -6n = 2n + 4n Combine like terms: -8 + -12 = -20 -20 + 8n + -6n = 2n + 4n Combine like terms: 8n + -6n = 2n -20 + 2n = 2n + 4n Combine like terms: 2n + 4n = 6n -20 + 2n = 6n Solving -20 + 2n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -20 + 2n + -6n = 6n + -6n Combine like terms: 2n + -6n = -4n -20 + -4n = 6n + -6n Combine like terms: 6n + -6n = 0 -20 + -4n = 0 Add '20' to each side of the equation. -20 + 20 + -4n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -4n = 0 + 20 -4n = 0 + 20 Combine like terms: 0 + 20 = 20 -4n = 20 Divide each side by '-4'. n = -5 Simplifying n = -5
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