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Simplifying 0.455 = -0.3(7n + -31.2) Reorder the terms: 0.455 = -0.3(-31.2 + 7n) 0.455 = (-31.2 * -0.3 + 7n * -0.3) 0.455 = (9.36 + -2.1n) Solving 0.455 = 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. 0.455 + 2.1n = 9.36 + -2.1n + 2.1n Combine like terms: -2.1n + 2.1n = 0.0 0.455 + 2.1n = 9.36 + 0.0 0.455 + 2.1n = 9.36 Add '-0.455' to each side of the equation. 0.455 + -0.455 + 2.1n = 9.36 + -0.455 Combine like terms: 0.455 + -0.455 = 0.000 0.000 + 2.1n = 9.36 + -0.455 2.1n = 9.36 + -0.455 Combine like terms: 9.36 + -0.455 = 8.905 2.1n = 8.905 Divide each side by '2.1'. n = 4.24047619 Simplifying n = 4.24047619
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