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Simplifying 13 + n + 7n = 7n + 2 + 6 Combine like terms: n + 7n = 8n 13 + 8n = 7n + 2 + 6 Reorder the terms: 13 + 8n = 2 + 6 + 7n Combine like terms: 2 + 6 = 8 13 + 8n = 8 + 7n Solving 13 + 8n = 8 + 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. 13 + 8n + -7n = 8 + 7n + -7n Combine like terms: 8n + -7n = 1n 13 + 1n = 8 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + 1n = 8 + 0 13 + 1n = 8 Add '-13' to each side of the equation. 13 + -13 + 1n = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 8 + -13 1n = 8 + -13 Combine like terms: 8 + -13 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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