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Simplifying (n + 0.33) = 1.5n + 1 + 0.5n + -0.33 Reorder the terms: (0.33 + n) = 1.5n + 1 + 0.5n + -0.33 Remove parenthesis around (0.33 + n) 0.33 + n = 1.5n + 1 + 0.5n + -0.33 Reorder the terms: 0.33 + n = 1 + -0.33 + 1.5n + 0.5n Combine like terms: 1 + -0.33 = 0.67 0.33 + n = 0.67 + 1.5n + 0.5n Combine like terms: 1.5n + 0.5n = 2n 0.33 + n = 0.67 + 2n Solving 0.33 + n = 0.67 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 0.33 + n + -2n = 0.67 + 2n + -2n Combine like terms: n + -2n = -1n 0.33 + -1n = 0.67 + 2n + -2n Combine like terms: 2n + -2n = 0 0.33 + -1n = 0.67 + 0 0.33 + -1n = 0.67 Add '-0.33' to each side of the equation. 0.33 + -0.33 + -1n = 0.67 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + -1n = 0.67 + -0.33 -1n = 0.67 + -0.33 Combine like terms: 0.67 + -0.33 = 0.34 -1n = 0.34 Divide each side by '-1'. n = -0.34 Simplifying n = -0.34
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