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Simplifying 21.882 + 4.9 = 4.2(1.8n + 3.69) Combine like terms: 21.882 + 4.9 = 26.782 26.782 = 4.2(1.8n + 3.69) Reorder the terms: 26.782 = 4.2(3.69 + 1.8n) 26.782 = (3.69 * 4.2 + 1.8n * 4.2) 26.782 = (15.498 + 7.56n) Solving 26.782 = 15.498 + 7.56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.56n' to each side of the equation. 26.782 + -7.56n = 15.498 + 7.56n + -7.56n Combine like terms: 7.56n + -7.56n = 0.00 26.782 + -7.56n = 15.498 + 0.00 26.782 + -7.56n = 15.498 Add '-26.782' to each side of the equation. 26.782 + -26.782 + -7.56n = 15.498 + -26.782 Combine like terms: 26.782 + -26.782 = 0.000 0.000 + -7.56n = 15.498 + -26.782 -7.56n = 15.498 + -26.782 Combine like terms: 15.498 + -26.782 = -11.284 -7.56n = -11.284 Divide each side by '-7.56'. n = 1.492592593 Simplifying n = 1.492592593
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