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Simplifying 3(2n + 4) = 2n + 56 Reorder the terms: 3(4 + 2n) = 2n + 56 (4 * 3 + 2n * 3) = 2n + 56 (12 + 6n) = 2n + 56 Reorder the terms: 12 + 6n = 56 + 2n Solving 12 + 6n = 56 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 12 + 6n + -2n = 56 + 2n + -2n Combine like terms: 6n + -2n = 4n 12 + 4n = 56 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 4n = 56 + 0 12 + 4n = 56 Add '-12' to each side of the equation. 12 + -12 + 4n = 56 + -12 Combine like terms: 12 + -12 = 0 0 + 4n = 56 + -12 4n = 56 + -12 Combine like terms: 56 + -12 = 44 4n = 44 Divide each side by '4'. n = 11 Simplifying n = 11
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