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Simplifying 8n + 13 = 7(n + 10) Reorder the terms: 13 + 8n = 7(n + 10) Reorder the terms: 13 + 8n = 7(10 + n) 13 + 8n = (10 * 7 + n * 7) 13 + 8n = (70 + 7n) Solving 13 + 8n = 70 + 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. 13 + 8n + -7n = 70 + 7n + -7n Combine like terms: 8n + -7n = 1n 13 + 1n = 70 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + 1n = 70 + 0 13 + 1n = 70 Add '-13' to each side of the equation. 13 + -13 + 1n = 70 + -13 Combine like terms: 13 + -13 = 0 0 + 1n = 70 + -13 1n = 70 + -13 Combine like terms: 70 + -13 = 57 1n = 57 Divide each side by '1'. n = 57 Simplifying n = 57
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