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Simplifying -8 + 2n + -2 + 6n = 7n + -3 + -7 Reorder the terms: -8 + -2 + 2n + 6n = 7n + -3 + -7 Combine like terms: -8 + -2 = -10 -10 + 2n + 6n = 7n + -3 + -7 Combine like terms: 2n + 6n = 8n -10 + 8n = 7n + -3 + -7 Reorder the terms: -10 + 8n = -3 + -7 + 7n Combine like terms: -3 + -7 = -10 -10 + 8n = -10 + 7n Add '10' to each side of the equation. -10 + 10 + 8n = -10 + 10 + 7n Combine like terms: -10 + 10 = 0 0 + 8n = -10 + 10 + 7n 8n = -10 + 10 + 7n Combine like terms: -10 + 10 = 0 8n = 0 + 7n 8n = 7n Solving 8n = 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. 8n + -7n = 7n + -7n Combine like terms: 8n + -7n = 1n 1n = 7n + -7n Combine like terms: 7n + -7n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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