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Simplifying 6n + -12 = 8n + -3 + 3 Reorder the terms: -12 + 6n = 8n + -3 + 3 Reorder the terms: -12 + 6n = -3 + 3 + 8n Combine like terms: -3 + 3 = 0 -12 + 6n = 0 + 8n -12 + 6n = 8n Solving -12 + 6n = 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 + 6n + -8n = 8n + -8n Combine like terms: 6n + -8n = -2n -12 + -2n = 8n + -8n Combine like terms: 8n + -8n = 0 -12 + -2n = 0 Add '12' to each side of the equation. -12 + 12 + -2n = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = 0 + 12 -2n = 0 + 12 Combine like terms: 0 + 12 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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