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Simplifying 0.3n + 0.75 = 0.83n + -1 Reorder the terms: 0.75 + 0.3n = 0.83n + -1 Reorder the terms: 0.75 + 0.3n = -1 + 0.83n Solving 0.75 + 0.3n = -1 + 0.83n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.83n' to each side of the equation. 0.75 + 0.3n + -0.83n = -1 + 0.83n + -0.83n Combine like terms: 0.3n + -0.83n = -0.53n 0.75 + -0.53n = -1 + 0.83n + -0.83n Combine like terms: 0.83n + -0.83n = 0.00 0.75 + -0.53n = -1 + 0.00 0.75 + -0.53n = -1 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.53n = -1 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.53n = -1 + -0.75 -0.53n = -1 + -0.75 Combine like terms: -1 + -0.75 = -1.75 -0.53n = -1.75 Divide each side by '-0.53'. n = 3.301886792 Simplifying n = 3.301886792
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