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Simplifying -2 + 8n = n + 2 + 6n Reorder the terms: -2 + 8n = 2 + n + 6n Combine like terms: n + 6n = 7n -2 + 8n = 2 + 7n Solving -2 + 8n = 2 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -2 + 8n + -7n = 2 + 7n + -7n Combine like terms: 8n + -7n = 1n -2 + 1n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 -2 + 1n = 2 + 0 -2 + 1n = 2 Add '2' to each side of the equation. -2 + 2 + 1n = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 1n = 2 + 2 1n = 2 + 2 Combine like terms: 2 + 2 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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