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Simplifying 2n + 23 = 9n + -47 Reorder the terms: 23 + 2n = 9n + -47 Reorder the terms: 23 + 2n = -47 + 9n Solving 23 + 2n = -47 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 23 + 2n + -9n = -47 + 9n + -9n Combine like terms: 2n + -9n = -7n 23 + -7n = -47 + 9n + -9n Combine like terms: 9n + -9n = 0 23 + -7n = -47 + 0 23 + -7n = -47 Add '-23' to each side of the equation. 23 + -23 + -7n = -47 + -23 Combine like terms: 23 + -23 = 0 0 + -7n = -47 + -23 -7n = -47 + -23 Combine like terms: -47 + -23 = -70 -7n = -70 Divide each side by '-7'. n = 10 Simplifying n = 10
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