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