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Simplifying 6(2n + 3) = 28 + 7n Reorder the terms: 6(3 + 2n) = 28 + 7n (3 * 6 + 2n * 6) = 28 + 7n (18 + 12n) = 28 + 7n Solving 18 + 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. 18 + 12n + -7n = 28 + 7n + -7n Combine like terms: 12n + -7n = 5n 18 + 5n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 18 + 5n = 28 + 0 18 + 5n = 28 Add '-18' to each side of the equation. 18 + -18 + 5n = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 5n = 28 + -18 5n = 28 + -18 Combine like terms: 28 + -18 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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