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Simplifying 0.24n + -8.1 = -5.2(0.7n + 1.4) + 36.428 Reorder the terms: -8.1 + 0.24n = -5.2(0.7n + 1.4) + 36.428 Reorder the terms: -8.1 + 0.24n = -5.2(1.4 + 0.7n) + 36.428 -8.1 + 0.24n = (1.4 * -5.2 + 0.7n * -5.2) + 36.428 -8.1 + 0.24n = (-7.28 + -3.64n) + 36.428 Reorder the terms: -8.1 + 0.24n = -7.28 + 36.428 + -3.64n Combine like terms: -7.28 + 36.428 = 29.148 -8.1 + 0.24n = 29.148 + -3.64n Solving -8.1 + 0.24n = 29.148 + -3.64n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.64n' to each side of the equation. -8.1 + 0.24n + 3.64n = 29.148 + -3.64n + 3.64n Combine like terms: 0.24n + 3.64n = 3.88n -8.1 + 3.88n = 29.148 + -3.64n + 3.64n Combine like terms: -3.64n + 3.64n = 0.00 -8.1 + 3.88n = 29.148 + 0.00 -8.1 + 3.88n = 29.148 Add '8.1' to each side of the equation. -8.1 + 8.1 + 3.88n = 29.148 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 3.88n = 29.148 + 8.1 3.88n = 29.148 + 8.1 Combine like terms: 29.148 + 8.1 = 37.248 3.88n = 37.248 Divide each side by '3.88'. n = 9.6 Simplifying n = 9.6
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