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Simplifying 8n + -3 = 2n + 38 Reorder the terms: -3 + 8n = 2n + 38 Reorder the terms: -3 + 8n = 38 + 2n Solving -3 + 8n = 38 + 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. -3 + 8n + -2n = 38 + 2n + -2n Combine like terms: 8n + -2n = 6n -3 + 6n = 38 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 6n = 38 + 0 -3 + 6n = 38 Add '3' to each side of the equation. -3 + 3 + 6n = 38 + 3 Combine like terms: -3 + 3 = 0 0 + 6n = 38 + 3 6n = 38 + 3 Combine like terms: 38 + 3 = 41 6n = 41 Divide each side by '6'. n = 6.833333333 Simplifying n = 6.833333333
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