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Simplifying 12 + n + -2 + 6n = n + -2 + 8n Reorder the terms: 12 + -2 + n + 6n = n + -2 + 8n Combine like terms: 12 + -2 = 10 10 + n + 6n = n + -2 + 8n Combine like terms: n + 6n = 7n 10 + 7n = n + -2 + 8n Reorder the terms: 10 + 7n = -2 + n + 8n Combine like terms: n + 8n = 9n 10 + 7n = -2 + 9n Solving 10 + 7n = -2 + 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. 10 + 7n + -9n = -2 + 9n + -9n Combine like terms: 7n + -9n = -2n 10 + -2n = -2 + 9n + -9n Combine like terms: 9n + -9n = 0 10 + -2n = -2 + 0 10 + -2n = -2 Add '-10' to each side of the equation. 10 + -10 + -2n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -2 + -10 -2n = -2 + -10 Combine like terms: -2 + -10 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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