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Simplifying -13 + 2n + 6n = 1 + 6n Combine like terms: 2n + 6n = 8n -13 + 8n = 1 + 6n Solving -13 + 8n = 1 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -13 + 8n + -6n = 1 + 6n + -6n Combine like terms: 8n + -6n = 2n -13 + 2n = 1 + 6n + -6n Combine like terms: 6n + -6n = 0 -13 + 2n = 1 + 0 -13 + 2n = 1 Add '13' to each side of the equation. -13 + 13 + 2n = 1 + 13 Combine like terms: -13 + 13 = 0 0 + 2n = 1 + 13 2n = 1 + 13 Combine like terms: 1 + 13 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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