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Simplifying 6(10 + -7n) = -42 + -8n (10 * 6 + -7n * 6) = -42 + -8n (60 + -42n) = -42 + -8n Solving 60 + -42n = -42 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 60 + -42n + 8n = -42 + -8n + 8n Combine like terms: -42n + 8n = -34n 60 + -34n = -42 + -8n + 8n Combine like terms: -8n + 8n = 0 60 + -34n = -42 + 0 60 + -34n = -42 Add '-60' to each side of the equation. 60 + -60 + -34n = -42 + -60 Combine like terms: 60 + -60 = 0 0 + -34n = -42 + -60 -34n = -42 + -60 Combine like terms: -42 + -60 = -102 -34n = -102 Divide each side by '-34'. n = 3 Simplifying n = 3
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