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Simplifying 8 + 8n + -7 = 5n + 43 + -3n Reorder the terms: 8 + -7 + 8n = 5n + 43 + -3n Combine like terms: 8 + -7 = 1 1 + 8n = 5n + 43 + -3n Reorder the terms: 1 + 8n = 43 + 5n + -3n Combine like terms: 5n + -3n = 2n 1 + 8n = 43 + 2n Solving 1 + 8n = 43 + 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. 1 + 8n + -2n = 43 + 2n + -2n Combine like terms: 8n + -2n = 6n 1 + 6n = 43 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 6n = 43 + 0 1 + 6n = 43 Add '-1' to each side of the equation. 1 + -1 + 6n = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 6n = 43 + -1 6n = 43 + -1 Combine like terms: 43 + -1 = 42 6n = 42 Divide each side by '6'. n = 7 Simplifying n = 7
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