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Simplifying 7 + 6n = 8n + 13 Reorder the terms: 7 + 6n = 13 + 8n Solving 7 + 6n = 13 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 7 + 6n + -8n = 13 + 8n + -8n Combine like terms: 6n + -8n = -2n 7 + -2n = 13 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -2n = 13 + 0 7 + -2n = 13 Add '-7' to each side of the equation. 7 + -7 + -2n = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 13 + -7 -2n = 13 + -7 Combine like terms: 13 + -7 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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