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Simplifying 7(3n + 5) = 7(5n + 2) + 3 Reorder the terms: 7(5 + 3n) = 7(5n + 2) + 3 (5 * 7 + 3n * 7) = 7(5n + 2) + 3 (35 + 21n) = 7(5n + 2) + 3 Reorder the terms: 35 + 21n = 7(2 + 5n) + 3 35 + 21n = (2 * 7 + 5n * 7) + 3 35 + 21n = (14 + 35n) + 3 Reorder the terms: 35 + 21n = 14 + 3 + 35n Combine like terms: 14 + 3 = 17 35 + 21n = 17 + 35n Solving 35 + 21n = 17 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 35 + 21n + -35n = 17 + 35n + -35n Combine like terms: 21n + -35n = -14n 35 + -14n = 17 + 35n + -35n Combine like terms: 35n + -35n = 0 35 + -14n = 17 + 0 35 + -14n = 17 Add '-35' to each side of the equation. 35 + -35 + -14n = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -14n = 17 + -35 -14n = 17 + -35 Combine like terms: 17 + -35 = -18 -14n = -18 Divide each side by '-14'. n = 1.285714286 Simplifying n = 1.285714286
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