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Simplifying 9n + -2 = 47 + 2n Reorder the terms: -2 + 9n = 47 + 2n Solving -2 + 9n = 47 + 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. -2 + 9n + -2n = 47 + 2n + -2n Combine like terms: 9n + -2n = 7n -2 + 7n = 47 + 2n + -2n Combine like terms: 2n + -2n = 0 -2 + 7n = 47 + 0 -2 + 7n = 47 Add '2' to each side of the equation. -2 + 2 + 7n = 47 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = 47 + 2 7n = 47 + 2 Combine like terms: 47 + 2 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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