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Simplifying 5(n + 2) = 3(5 + 2n) Reorder the terms: 5(2 + n) = 3(5 + 2n) (2 * 5 + n * 5) = 3(5 + 2n) (10 + 5n) = 3(5 + 2n) 10 + 5n = (5 * 3 + 2n * 3) 10 + 5n = (15 + 6n) Solving 10 + 5n = 15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 5n + -6n = 15 + 6n + -6n Combine like terms: 5n + -6n = -1n 10 + -1n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + -1n = 15 + 0 10 + -1n = 15 Add '-10' to each side of the equation. 10 + -10 + -1n = 15 + -10 Combine like terms: 10 + -10 = 0 0 + -1n = 15 + -10 -1n = 15 + -10 Combine like terms: 15 + -10 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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