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Simplifying 0.456 = 0.3(7n + -31.2) Reorder the terms: 0.456 = 0.3(-31.2 + 7n) 0.456 = (-31.2 * 0.3 + 7n * 0.3) 0.456 = (-9.36 + 2.1n) Solving 0.456 = -9.36 + 2.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2.1n' to each side of the equation. 0.456 + -2.1n = -9.36 + 2.1n + -2.1n Combine like terms: 2.1n + -2.1n = 0.0 0.456 + -2.1n = -9.36 + 0.0 0.456 + -2.1n = -9.36 Add '-0.456' to each side of the equation. 0.456 + -0.456 + -2.1n = -9.36 + -0.456 Combine like terms: 0.456 + -0.456 = 0.000 0.000 + -2.1n = -9.36 + -0.456 -2.1n = -9.36 + -0.456 Combine like terms: -9.36 + -0.456 = -9.816 -2.1n = -9.816 Divide each side by '-2.1'. n = 4.674285714 Simplifying n = 4.674285714
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