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Simplifying 13 + 8n = 6n + 6 + 3n Reorder the terms: 13 + 8n = 6 + 6n + 3n Combine like terms: 6n + 3n = 9n 13 + 8n = 6 + 9n Solving 13 + 8n = 6 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 13 + 8n + -9n = 6 + 9n + -9n Combine like terms: 8n + -9n = -1n 13 + -1n = 6 + 9n + -9n Combine like terms: 9n + -9n = 0 13 + -1n = 6 + 0 13 + -1n = 6 Add '-13' to each side of the equation. 13 + -13 + -1n = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = 6 + -13 -1n = 6 + -13 Combine like terms: 6 + -13 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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