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Simplifying 4(0.5n + -1) = 0.33n + 1 Reorder the terms: 4(-1 + 0.5n) = 0.33n + 1 (-1 * 4 + 0.5n * 4) = 0.33n + 1 (-4 + 2n) = 0.33n + 1 Reorder the terms: -4 + 2n = 1 + 0.33n Solving -4 + 2n = 1 + 0.33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.33n' to each side of the equation. -4 + 2n + -0.33n = 1 + 0.33n + -0.33n Combine like terms: 2n + -0.33n = 1.67n -4 + 1.67n = 1 + 0.33n + -0.33n Combine like terms: 0.33n + -0.33n = 0.00 -4 + 1.67n = 1 + 0.00 -4 + 1.67n = 1 Add '4' to each side of the equation. -4 + 4 + 1.67n = 1 + 4 Combine like terms: -4 + 4 = 0 0 + 1.67n = 1 + 4 1.67n = 1 + 4 Combine like terms: 1 + 4 = 5 1.67n = 5 Divide each side by '1.67'. n = 2.994011976 Simplifying n = 2.994011976
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