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Simplifying 3 + 7n = 4(n + 2) + 2n Reorder the terms: 3 + 7n = 4(2 + n) + 2n 3 + 7n = (2 * 4 + n * 4) + 2n 3 + 7n = (8 + 4n) + 2n Combine like terms: 4n + 2n = 6n 3 + 7n = 8 + 6n Solving 3 + 7n = 8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3 + 7n + -6n = 8 + 6n + -6n Combine like terms: 7n + -6n = 1n 3 + 1n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 3 + 1n = 8 + 0 3 + 1n = 8 Add '-3' to each side of the equation. 3 + -3 + 1n = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1n = 8 + -3 1n = 8 + -3 Combine like terms: 8 + -3 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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