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Simplifying 4(3n + 2) = 28 + 7n Reorder the terms: 4(2 + 3n) = 28 + 7n (2 * 4 + 3n * 4) = 28 + 7n (8 + 12n) = 28 + 7n Solving 8 + 12n = 28 + 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. 8 + 12n + -7n = 28 + 7n + -7n Combine like terms: 12n + -7n = 5n 8 + 5n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 8 + 5n = 28 + 0 8 + 5n = 28 Add '-8' to each side of the equation. 8 + -8 + 5n = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 5n = 28 + -8 5n = 28 + -8 Combine like terms: 28 + -8 = 20 5n = 20 Divide each side by '5'. n = 4 Simplifying n = 4
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