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Simplifying 5.01 = 5.1(n + -3.7) + 4.4(1 + -5.6n) Reorder the terms: 5.01 = 5.1(-3.7 + n) + 4.4(1 + -5.6n) 5.01 = (-3.7 * 5.1 + n * 5.1) + 4.4(1 + -5.6n) 5.01 = (-18.87 + 5.1n) + 4.4(1 + -5.6n) 5.01 = -18.87 + 5.1n + (1 * 4.4 + -5.6n * 4.4) 5.01 = -18.87 + 5.1n + (4.4 + -24.64n) Reorder the terms: 5.01 = -18.87 + 4.4 + 5.1n + -24.64n Combine like terms: -18.87 + 4.4 = -14.47 5.01 = -14.47 + 5.1n + -24.64n Combine like terms: 5.1n + -24.64n = -19.54n 5.01 = -14.47 + -19.54n Solving 5.01 = -14.47 + -19.54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19.54n' to each side of the equation. 5.01 + 19.54n = -14.47 + -19.54n + 19.54n Combine like terms: -19.54n + 19.54n = 0.00 5.01 + 19.54n = -14.47 + 0.00 5.01 + 19.54n = -14.47 Add '-5.01' to each side of the equation. 5.01 + -5.01 + 19.54n = -14.47 + -5.01 Combine like terms: 5.01 + -5.01 = 0.00 0.00 + 19.54n = -14.47 + -5.01 19.54n = -14.47 + -5.01 Combine like terms: -14.47 + -5.01 = -19.48 19.54n = -19.48 Divide each side by '19.54'. n = -0.9969293756 Simplifying n = -0.9969293756
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