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Simplifying 0.75n + -6 = 0.42n + 8 Reorder the terms: -6 + 0.75n = 0.42n + 8 Reorder the terms: -6 + 0.75n = 8 + 0.42n Solving -6 + 0.75n = 8 + 0.42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.42n' to each side of the equation. -6 + 0.75n + -0.42n = 8 + 0.42n + -0.42n Combine like terms: 0.75n + -0.42n = 0.33n -6 + 0.33n = 8 + 0.42n + -0.42n Combine like terms: 0.42n + -0.42n = 0.00 -6 + 0.33n = 8 + 0.00 -6 + 0.33n = 8 Add '6' to each side of the equation. -6 + 6 + 0.33n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 0.33n = 8 + 6 0.33n = 8 + 6 Combine like terms: 8 + 6 = 14 0.33n = 14 Divide each side by '0.33'. n = 42.42424242 Simplifying n = 42.42424242
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