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Simplifying 8 + 11n + -7 = 8n + 43 + -4n Reorder the terms: 8 + -7 + 11n = 8n + 43 + -4n Combine like terms: 8 + -7 = 1 1 + 11n = 8n + 43 + -4n Reorder the terms: 1 + 11n = 43 + 8n + -4n Combine like terms: 8n + -4n = 4n 1 + 11n = 43 + 4n Solving 1 + 11n = 43 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 1 + 11n + -4n = 43 + 4n + -4n Combine like terms: 11n + -4n = 7n 1 + 7n = 43 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 7n = 43 + 0 1 + 7n = 43 Add '-1' to each side of the equation. 1 + -1 + 7n = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 7n = 43 + -1 7n = 43 + -1 Combine like terms: 43 + -1 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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