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Simplifying 5(2 + 3n) = 3(n + 7) (2 * 5 + 3n * 5) = 3(n + 7) (10 + 15n) = 3(n + 7) Reorder the terms: 10 + 15n = 3(7 + n) 10 + 15n = (7 * 3 + n * 3) 10 + 15n = (21 + 3n) Solving 10 + 15n = 21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 10 + 15n + -3n = 21 + 3n + -3n Combine like terms: 15n + -3n = 12n 10 + 12n = 21 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 12n = 21 + 0 10 + 12n = 21 Add '-10' to each side of the equation. 10 + -10 + 12n = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 12n = 21 + -10 12n = 21 + -10 Combine like terms: 21 + -10 = 11 12n = 11 Divide each side by '12'. n = 0.9166666667 Simplifying n = 0.9166666667
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