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Simplifying 9n + 42 = 5(10 + n) Reorder the terms: 42 + 9n = 5(10 + n) 42 + 9n = (10 * 5 + n * 5) 42 + 9n = (50 + 5n) Solving 42 + 9n = 50 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 42 + 9n + -5n = 50 + 5n + -5n Combine like terms: 9n + -5n = 4n 42 + 4n = 50 + 5n + -5n Combine like terms: 5n + -5n = 0 42 + 4n = 50 + 0 42 + 4n = 50 Add '-42' to each side of the equation. 42 + -42 + 4n = 50 + -42 Combine like terms: 42 + -42 = 0 0 + 4n = 50 + -42 4n = 50 + -42 Combine like terms: 50 + -42 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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