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Simplifying 8(n + 5) = 35 + 7n Reorder the terms: 8(5 + n) = 35 + 7n (5 * 8 + n * 8) = 35 + 7n (40 + 8n) = 35 + 7n Solving 40 + 8n = 35 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 40 + 8n + -7n = 35 + 7n + -7n Combine like terms: 8n + -7n = 1n 40 + 1n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 40 + 1n = 35 + 0 40 + 1n = 35 Add '-40' to each side of the equation. 40 + -40 + 1n = 35 + -40 Combine like terms: 40 + -40 = 0 0 + 1n = 35 + -40 1n = 35 + -40 Combine like terms: 35 + -40 = -5 1n = -5 Divide each side by '1'. n = -5 Simplifying n = -5
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