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Simplifying 6n + 3 + 2n = 6n + -1 Reorder the terms: 3 + 6n + 2n = 6n + -1 Combine like terms: 6n + 2n = 8n 3 + 8n = 6n + -1 Reorder the terms: 3 + 8n = -1 + 6n Solving 3 + 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. 3 + 8n + -6n = -1 + 6n + -6n Combine like terms: 8n + -6n = 2n 3 + 2n = -1 + 6n + -6n Combine like terms: 6n + -6n = 0 3 + 2n = -1 + 0 3 + 2n = -1 Add '-3' to each side of the equation. 3 + -3 + 2n = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -1 + -3 2n = -1 + -3 Combine like terms: -1 + -3 = -4 2n = -4 Divide each side by '2'. n = -2 Simplifying n = -2
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