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Simplifying 6n + 7 = -5 + 8n + 2 + 6 Reorder the terms: 7 + 6n = -5 + 8n + 2 + 6 Reorder the terms: 7 + 6n = -5 + 2 + 6 + 8n Combine like terms: -5 + 2 = -3 7 + 6n = -3 + 6 + 8n Combine like terms: -3 + 6 = 3 7 + 6n = 3 + 8n Solving 7 + 6n = 3 + 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 = 3 + 8n + -8n Combine like terms: 6n + -8n = -2n 7 + -2n = 3 + 8n + -8n Combine like terms: 8n + -8n = 0 7 + -2n = 3 + 0 7 + -2n = 3 Add '-7' to each side of the equation. 7 + -7 + -2n = 3 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 3 + -7 -2n = 3 + -7 Combine like terms: 3 + -7 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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