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Simplifying 0.58n + -0.6 = 5.76 + 0.05n Reorder the terms: -0.6 + 0.58n = 5.76 + 0.05n Solving -0.6 + 0.58n = 5.76 + 0.05n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.05n' to each side of the equation. -0.6 + 0.58n + -0.05n = 5.76 + 0.05n + -0.05n Combine like terms: 0.58n + -0.05n = 0.53n -0.6 + 0.53n = 5.76 + 0.05n + -0.05n Combine like terms: 0.05n + -0.05n = 0.00 -0.6 + 0.53n = 5.76 + 0.00 -0.6 + 0.53n = 5.76 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.53n = 5.76 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.53n = 5.76 + 0.6 0.53n = 5.76 + 0.6 Combine like terms: 5.76 + 0.6 = 6.36 0.53n = 6.36 Divide each side by '0.53'. n = 12 Simplifying n = 12
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