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Simplifying 5n + 3 = 3n + -9 Reorder the terms: 3 + 5n = 3n + -9 Reorder the terms: 3 + 5n = -9 + 3n Solving 3 + 5n = -9 + 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. 3 + 5n + -3n = -9 + 3n + -3n Combine like terms: 5n + -3n = 2n 3 + 2n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + 2n = -9 + 0 3 + 2n = -9 Add '-3' to each side of the equation. 3 + -3 + 2n = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = -9 + -3 2n = -9 + -3 Combine like terms: -9 + -3 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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