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Simplifying -6 + 7(n + 5) = 25 + 8n Reorder the terms: -6 + 7(5 + n) = 25 + 8n -6 + (5 * 7 + n * 7) = 25 + 8n -6 + (35 + 7n) = 25 + 8n Combine like terms: -6 + 35 = 29 29 + 7n = 25 + 8n Solving 29 + 7n = 25 + 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. 29 + 7n + -8n = 25 + 8n + -8n Combine like terms: 7n + -8n = -1n 29 + -1n = 25 + 8n + -8n Combine like terms: 8n + -8n = 0 29 + -1n = 25 + 0 29 + -1n = 25 Add '-29' to each side of the equation. 29 + -29 + -1n = 25 + -29 Combine like terms: 29 + -29 = 0 0 + -1n = 25 + -29 -1n = 25 + -29 Combine like terms: 25 + -29 = -4 -1n = -4 Divide each side by '-1'. n = 4 Simplifying n = 4
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