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Simplifying 2n + -9n + 3 = 6 + -5n Reorder the terms: 3 + 2n + -9n = 6 + -5n Combine like terms: 2n + -9n = -7n 3 + -7n = 6 + -5n Solving 3 + -7n = 6 + -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. 3 + -7n + 5n = 6 + -5n + 5n Combine like terms: -7n + 5n = -2n 3 + -2n = 6 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -2n = 6 + 0 3 + -2n = 6 Add '-3' to each side of the equation. 3 + -3 + -2n = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 6 + -3 -2n = 6 + -3 Combine like terms: 6 + -3 = 3 -2n = 3 Divide each side by '-2'. n = -1.5 Simplifying n = -1.5
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