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Simplifying 5n + -9 = 5 + -2n Reorder the terms: -9 + 5n = 5 + -2n Solving -9 + 5n = 5 + -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. -9 + 5n + 2n = 5 + -2n + 2n Combine like terms: 5n + 2n = 7n -9 + 7n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -9 + 7n = 5 + 0 -9 + 7n = 5 Add '9' to each side of the equation. -9 + 9 + 7n = 5 + 9 Combine like terms: -9 + 9 = 0 0 + 7n = 5 + 9 7n = 5 + 9 Combine like terms: 5 + 9 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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