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Simplifying 5000 = 4 + (n + -1) * 23 + 11 Reorder the terms: 5000 = 4 + (-1 + n) * 23 + 11 Reorder the terms for easier multiplication: 5000 = 4 + 23(-1 + n) + 11 5000 = 4 + (-1 * 23 + n * 23) + 11 5000 = 4 + (-23 + 23n) + 11 Reorder the terms: 5000 = 4 + -23 + 11 + 23n Combine like terms: 4 + -23 = -19 5000 = -19 + 11 + 23n Combine like terms: -19 + 11 = -8 5000 = -8 + 23n Solving 5000 = -8 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. 5000 + -23n = -8 + 23n + -23n Combine like terms: 23n + -23n = 0 5000 + -23n = -8 + 0 5000 + -23n = -8 Add '-5000' to each side of the equation. 5000 + -5000 + -23n = -8 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -23n = -8 + -5000 -23n = -8 + -5000 Combine like terms: -8 + -5000 = -5008 -23n = -5008 Divide each side by '-23'. n = 217.7391304 Simplifying n = 217.7391304
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