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Simplifying 13 + 7n = n + 3 + 8n Reorder the terms: 13 + 7n = 3 + n + 8n Combine like terms: n + 8n = 9n 13 + 7n = 3 + 9n Solving 13 + 7n = 3 + 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 + 7n + -9n = 3 + 9n + -9n Combine like terms: 7n + -9n = -2n 13 + -2n = 3 + 9n + -9n Combine like terms: 9n + -9n = 0 13 + -2n = 3 + 0 13 + -2n = 3 Add '-13' to each side of the equation. 13 + -13 + -2n = 3 + -13 Combine like terms: 13 + -13 = 0 0 + -2n = 3 + -13 -2n = 3 + -13 Combine like terms: 3 + -13 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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