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Simplifying n * 0.5 + (n + -1) * 0.5 = 50 Reorder the terms for easier multiplication: 0.5n + (n + -1) * 0.5 = 50 Reorder the terms: 0.5n + (-1 + n) * 0.5 = 50 Reorder the terms for easier multiplication: 0.5n + 0.5(-1 + n) = 50 0.5n + (-1 * 0.5 + n * 0.5) = 50 0.5n + (-0.5 + 0.5n) = 50 Reorder the terms: -0.5 + 0.5n + 0.5n = 50 Combine like terms: 0.5n + 0.5n = 1n -0.5 + 1n = 50 Solving -0.5 + 1n = 50 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 1n = 50 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1n = 50 + 0.5 1n = 50 + 0.5 Combine like terms: 50 + 0.5 = 50.5 1n = 50.5 Divide each side by '1'. n = 50.5 Simplifying n = 50.5
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