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Simplifying 8n + 62 = 13n + 2 Reorder the terms: 62 + 8n = 13n + 2 Reorder the terms: 62 + 8n = 2 + 13n Solving 62 + 8n = 2 + 13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13n' to each side of the equation. 62 + 8n + -13n = 2 + 13n + -13n Combine like terms: 8n + -13n = -5n 62 + -5n = 2 + 13n + -13n Combine like terms: 13n + -13n = 0 62 + -5n = 2 + 0 62 + -5n = 2 Add '-62' to each side of the equation. 62 + -62 + -5n = 2 + -62 Combine like terms: 62 + -62 = 0 0 + -5n = 2 + -62 -5n = 2 + -62 Combine like terms: 2 + -62 = -60 -5n = -60 Divide each side by '-5'. n = 12 Simplifying n = 12
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