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Simplifying 5n + 9 = 3n + -21 Reorder the terms: 9 + 5n = 3n + -21 Reorder the terms: 9 + 5n = -21 + 3n Solving 9 + 5n = -21 + 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. 9 + 5n + -3n = -21 + 3n + -3n Combine like terms: 5n + -3n = 2n 9 + 2n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 9 + 2n = -21 + 0 9 + 2n = -21 Add '-9' to each side of the equation. 9 + -9 + 2n = -21 + -9 Combine like terms: 9 + -9 = 0 0 + 2n = -21 + -9 2n = -21 + -9 Combine like terms: -21 + -9 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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