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Simplifying (31.2 + -7n) * 0.3 = 0.456 Reorder the terms for easier multiplication: 0.3(31.2 + -7n) = 0.456 (31.2 * 0.3 + -7n * 0.3) = 0.456 (9.36 + -2.1n) = 0.456 Solving 9.36 + -2.1n = 0.456 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9.36' to each side of the equation. 9.36 + -9.36 + -2.1n = 0.456 + -9.36 Combine like terms: 9.36 + -9.36 = 0.00 0.00 + -2.1n = 0.456 + -9.36 -2.1n = 0.456 + -9.36 Combine like terms: 0.456 + -9.36 = -8.904 -2.1n = -8.904 Divide each side by '-2.1'. n = 4.24 Simplifying n = 4.24
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