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Simplifying 8n + -6 = 2n + 7 Reorder the terms: -6 + 8n = 2n + 7 Reorder the terms: -6 + 8n = 7 + 2n Solving -6 + 8n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -6 + 8n + -2n = 7 + 2n + -2n Combine like terms: 8n + -2n = 6n -6 + 6n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 6n = 7 + 0 -6 + 6n = 7 Add '6' to each side of the equation. -6 + 6 + 6n = 7 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = 7 + 6 6n = 7 + 6 Combine like terms: 7 + 6 = 13 6n = 13 Divide each side by '6'. n = 2.166666667 Simplifying n = 2.166666667
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