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Simplifying 7(4 + n) = 4n + 37 (4 * 7 + n * 7) = 4n + 37 (28 + 7n) = 4n + 37 Reorder the terms: 28 + 7n = 37 + 4n Solving 28 + 7n = 37 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 28 + 7n + -4n = 37 + 4n + -4n Combine like terms: 7n + -4n = 3n 28 + 3n = 37 + 4n + -4n Combine like terms: 4n + -4n = 0 28 + 3n = 37 + 0 28 + 3n = 37 Add '-28' to each side of the equation. 28 + -28 + 3n = 37 + -28 Combine like terms: 28 + -28 = 0 0 + 3n = 37 + -28 3n = 37 + -28 Combine like terms: 37 + -28 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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