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Simplifying 8n + -14 = 13n + 6 Reorder the terms: -14 + 8n = 13n + 6 Reorder the terms: -14 + 8n = 6 + 13n Solving -14 + 8n = 6 + 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. -14 + 8n + -13n = 6 + 13n + -13n Combine like terms: 8n + -13n = -5n -14 + -5n = 6 + 13n + -13n Combine like terms: 13n + -13n = 0 -14 + -5n = 6 + 0 -14 + -5n = 6 Add '14' to each side of the equation. -14 + 14 + -5n = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -5n = 6 + 14 -5n = 6 + 14 Combine like terms: 6 + 14 = 20 -5n = 20 Divide each side by '-5'. n = -4 Simplifying n = -4
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