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Simplifying 5n + 3 = 3(1 + -2n) Reorder the terms: 3 + 5n = 3(1 + -2n) 3 + 5n = (1 * 3 + -2n * 3) 3 + 5n = (3 + -6n) Add '-3' to each side of the equation. 3 + -3 + 5n = 3 + -3 + -6n Combine like terms: 3 + -3 = 0 0 + 5n = 3 + -3 + -6n 5n = 3 + -3 + -6n Combine like terms: 3 + -3 = 0 5n = 0 + -6n 5n = -6n Solving 5n = -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. 5n + 6n = -6n + 6n Combine like terms: 5n + 6n = 11n 11n = -6n + 6n Combine like terms: -6n + 6n = 0 11n = 0 Divide each side by '11'. n = 0 Simplifying n = 0
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