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Simplifying 7(n + 5) = 4 + 8n Reorder the terms: 7(5 + n) = 4 + 8n (5 * 7 + n * 7) = 4 + 8n (35 + 7n) = 4 + 8n Solving 35 + 7n = 4 + 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. 35 + 7n + -8n = 4 + 8n + -8n Combine like terms: 7n + -8n = -1n 35 + -1n = 4 + 8n + -8n Combine like terms: 8n + -8n = 0 35 + -1n = 4 + 0 35 + -1n = 4 Add '-35' to each side of the equation. 35 + -35 + -1n = 4 + -35 Combine like terms: 35 + -35 = 0 0 + -1n = 4 + -35 -1n = 4 + -35 Combine like terms: 4 + -35 = -31 -1n = -31 Divide each side by '-1'. n = 31 Simplifying n = 31
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