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Simplifying 8n + 2 = 5n + -3 Reorder the terms: 2 + 8n = 5n + -3 Reorder the terms: 2 + 8n = -3 + 5n Solving 2 + 8n = -3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 2 + 8n + -5n = -3 + 5n + -5n Combine like terms: 8n + -5n = 3n 2 + 3n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 2 + 3n = -3 + 0 2 + 3n = -3 Add '-2' to each side of the equation. 2 + -2 + 3n = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = -3 + -2 3n = -3 + -2 Combine like terms: -3 + -2 = -5 3n = -5 Divide each side by '3'. n = -1.666666667 Simplifying n = -1.666666667
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