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Simplifying 2(5 + -3n) = 5n + -23 (5 * 2 + -3n * 2) = 5n + -23 (10 + -6n) = 5n + -23 Reorder the terms: 10 + -6n = -23 + 5n Solving 10 + -6n = -23 + 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. 10 + -6n + -5n = -23 + 5n + -5n Combine like terms: -6n + -5n = -11n 10 + -11n = -23 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -11n = -23 + 0 10 + -11n = -23 Add '-10' to each side of the equation. 10 + -10 + -11n = -23 + -10 Combine like terms: 10 + -10 = 0 0 + -11n = -23 + -10 -11n = -23 + -10 Combine like terms: -23 + -10 = -33 -11n = -33 Divide each side by '-11'. n = 3 Simplifying n = 3
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