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Simplifying 0.456 = -3(7n + -31.2) Reorder the terms: 0.456 = -3(-31.2 + 7n) 0.456 = (-31.2 * -3 + 7n * -3) 0.456 = (93.6 + -21n) Solving 0.456 = 93.6 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. 0.456 + 21n = 93.6 + -21n + 21n Combine like terms: -21n + 21n = 0 0.456 + 21n = 93.6 + 0 0.456 + 21n = 93.6 Add '-0.456' to each side of the equation. 0.456 + -0.456 + 21n = 93.6 + -0.456 Combine like terms: 0.456 + -0.456 = 0.000 0.000 + 21n = 93.6 + -0.456 21n = 93.6 + -0.456 Combine like terms: 93.6 + -0.456 = 93.144 21n = 93.144 Divide each side by '21'. n = 4.435428571 Simplifying n = 4.435428571
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