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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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