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Simplifying 4(5n + 7) = 7n + 2 Reorder the terms: 4(7 + 5n) = 7n + 2 (7 * 4 + 5n * 4) = 7n + 2 (28 + 20n) = 7n + 2 Reorder the terms: 28 + 20n = 2 + 7n Solving 28 + 20n = 2 + 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. 28 + 20n + -7n = 2 + 7n + -7n Combine like terms: 20n + -7n = 13n 28 + 13n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 28 + 13n = 2 + 0 28 + 13n = 2 Add '-28' to each side of the equation. 28 + -28 + 13n = 2 + -28 Combine like terms: 28 + -28 = 0 0 + 13n = 2 + -28 13n = 2 + -28 Combine like terms: 2 + -28 = -26 13n = -26 Divide each side by '13'. n = -2 Simplifying n = -2
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