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Simplifying 12n + 20 = (n + 5) * 7 Reorder the terms: 20 + 12n = (n + 5) * 7 Reorder the terms: 20 + 12n = (5 + n) * 7 Reorder the terms for easier multiplication: 20 + 12n = 7(5 + n) 20 + 12n = (5 * 7 + n * 7) 20 + 12n = (35 + 7n) Solving 20 + 12n = 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. 20 + 12n + -7n = 35 + 7n + -7n Combine like terms: 12n + -7n = 5n 20 + 5n = 35 + 7n + -7n Combine like terms: 7n + -7n = 0 20 + 5n = 35 + 0 20 + 5n = 35 Add '-20' to each side of the equation. 20 + -20 + 5n = 35 + -20 Combine like terms: 20 + -20 = 0 0 + 5n = 35 + -20 5n = 35 + -20 Combine like terms: 35 + -20 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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