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Simplifying 2(n + 0.33) = 1.5n + 1 + 3n + -0.33 Reorder the terms: 2(0.33 + n) = 1.5n + 1 + 3n + -0.33 (0.33 * 2 + n * 2) = 1.5n + 1 + 3n + -0.33 (0.66 + 2n) = 1.5n + 1 + 3n + -0.33 Reorder the terms: 0.66 + 2n = 1 + -0.33 + 1.5n + 3n Combine like terms: 1 + -0.33 = 0.67 0.66 + 2n = 0.67 + 1.5n + 3n Combine like terms: 1.5n + 3n = 4.5n 0.66 + 2n = 0.67 + 4.5n Solving 0.66 + 2n = 0.67 + 4.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4.5n' to each side of the equation. 0.66 + 2n + -4.5n = 0.67 + 4.5n + -4.5n Combine like terms: 2n + -4.5n = -2.5n 0.66 + -2.5n = 0.67 + 4.5n + -4.5n Combine like terms: 4.5n + -4.5n = 0.0 0.66 + -2.5n = 0.67 + 0.0 0.66 + -2.5n = 0.67 Add '-0.66' to each side of the equation. 0.66 + -0.66 + -2.5n = 0.67 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -2.5n = 0.67 + -0.66 -2.5n = 0.67 + -0.66 Combine like terms: 0.67 + -0.66 = 0.01 -2.5n = 0.01 Divide each side by '-2.5'. n = -0.004 Simplifying n = -0.004
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