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Simplifying 6n + -6 + 2n + 4 = 8 + 6n + 2 Reorder the terms: -6 + 4 + 6n + 2n = 8 + 6n + 2 Combine like terms: -6 + 4 = -2 -2 + 6n + 2n = 8 + 6n + 2 Combine like terms: 6n + 2n = 8n -2 + 8n = 8 + 6n + 2 Reorder the terms: -2 + 8n = 8 + 2 + 6n Combine like terms: 8 + 2 = 10 -2 + 8n = 10 + 6n Solving -2 + 8n = 10 + 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. -2 + 8n + -6n = 10 + 6n + -6n Combine like terms: 8n + -6n = 2n -2 + 2n = 10 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + 2n = 10 + 0 -2 + 2n = 10 Add '2' to each side of the equation. -2 + 2 + 2n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 2n = 10 + 2 2n = 10 + 2 Combine like terms: 10 + 2 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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