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Simplifying 6n + 7 + -6n = 8n + -13 + -6n Reorder the terms: 7 + 6n + -6n = 8n + -13 + -6n Combine like terms: 6n + -6n = 0 7 + 0 = 8n + -13 + -6n 7 = 8n + -13 + -6n Reorder the terms: 7 = -13 + 8n + -6n Combine like terms: 8n + -6n = 2n 7 = -13 + 2n Solving 7 = -13 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + -2n = -13 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + -2n = -13 + 0 7 + -2n = -13 Add '-7' to each side of the equation. 7 + -7 + -2n = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -13 + -7 -2n = -13 + -7 Combine like terms: -13 + -7 = -20 -2n = -20 Divide each side by '-2'. n = 10 Simplifying n = 10
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