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Simplifying 3(5n + 4) = 51 + 2n Reorder the terms: 3(4 + 5n) = 51 + 2n (4 * 3 + 5n * 3) = 51 + 2n (12 + 15n) = 51 + 2n Solving 12 + 15n = 51 + 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 + 15n + -2n = 51 + 2n + -2n Combine like terms: 15n + -2n = 13n 12 + 13n = 51 + 2n + -2n Combine like terms: 2n + -2n = 0 12 + 13n = 51 + 0 12 + 13n = 51 Add '-12' to each side of the equation. 12 + -12 + 13n = 51 + -12 Combine like terms: 12 + -12 = 0 0 + 13n = 51 + -12 13n = 51 + -12 Combine like terms: 51 + -12 = 39 13n = 39 Divide each side by '13'. n = 3 Simplifying n = 3
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