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Simplifying n * 5 + 210 = n * 13 + -6 Reorder the terms for easier multiplication: 5n + 210 = n * 13 + -6 Reorder the terms: 210 + 5n = n * 13 + -6 Reorder the terms for easier multiplication: 210 + 5n = 13n + -6 Reorder the terms: 210 + 5n = -6 + 13n Solving 210 + 5n = -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. 210 + 5n + -13n = -6 + 13n + -13n Combine like terms: 5n + -13n = -8n 210 + -8n = -6 + 13n + -13n Combine like terms: 13n + -13n = 0 210 + -8n = -6 + 0 210 + -8n = -6 Add '-210' to each side of the equation. 210 + -210 + -8n = -6 + -210 Combine like terms: 210 + -210 = 0 0 + -8n = -6 + -210 -8n = -6 + -210 Combine like terms: -6 + -210 = -216 -8n = -216 Divide each side by '-8'. n = 27 Simplifying n = 27
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