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Simplifying 5n + 6 = 2n + -9 Reorder the terms: 6 + 5n = 2n + -9 Reorder the terms: 6 + 5n = -9 + 2n Solving 6 + 5n = -9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 6 + 5n + -2n = -9 + 2n + -2n Combine like terms: 5n + -2n = 3n 6 + 3n = -9 + 2n + -2n Combine like terms: 2n + -2n = 0 6 + 3n = -9 + 0 6 + 3n = -9 Add '-6' to each side of the equation. 6 + -6 + 3n = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3n = -9 + -6 3n = -9 + -6 Combine like terms: -9 + -6 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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