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Simplifying 2(n + 0.33) = 1.5 + 1 + 0.5n + -0.33 Reorder the terms: 2(0.33 + n) = 1.5 + 1 + 0.5n + -0.33 (0.33 * 2 + n * 2) = 1.5 + 1 + 0.5n + -0.33 (0.66 + 2n) = 1.5 + 1 + 0.5n + -0.33 Reorder the terms: 0.66 + 2n = 1.5 + 1 + -0.33 + 0.5n Combine like terms: 1.5 + 1 = 2.5 0.66 + 2n = 2.5 + -0.33 + 0.5n Combine like terms: 2.5 + -0.33 = 2.17 0.66 + 2n = 2.17 + 0.5n Solving 0.66 + 2n = 2.17 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 0.66 + 2n + -0.5n = 2.17 + 0.5n + -0.5n Combine like terms: 2n + -0.5n = 1.5n 0.66 + 1.5n = 2.17 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 0.66 + 1.5n = 2.17 + 0.0 0.66 + 1.5n = 2.17 Add '-0.66' to each side of the equation. 0.66 + -0.66 + 1.5n = 2.17 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + 1.5n = 2.17 + -0.66 1.5n = 2.17 + -0.66 Combine like terms: 2.17 + -0.66 = 1.51 1.5n = 1.51 Divide each side by '1.5'. n = 1.006666667 Simplifying n = 1.006666667
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