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Simplifying 21.882 + 4.9n = 4.2(1.8n + 3.69) Reorder the terms: 21.882 + 4.9n = 4.2(3.69 + 1.8n) 21.882 + 4.9n = (3.69 * 4.2 + 1.8n * 4.2) 21.882 + 4.9n = (15.498 + 7.56n) Solving 21.882 + 4.9n = 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. 21.882 + 4.9n + -7.56n = 15.498 + 7.56n + -7.56n Combine like terms: 4.9n + -7.56n = -2.66n 21.882 + -2.66n = 15.498 + 7.56n + -7.56n Combine like terms: 7.56n + -7.56n = 0.00 21.882 + -2.66n = 15.498 + 0.00 21.882 + -2.66n = 15.498 Add '-21.882' to each side of the equation. 21.882 + -21.882 + -2.66n = 15.498 + -21.882 Combine like terms: 21.882 + -21.882 = 0.000 0.000 + -2.66n = 15.498 + -21.882 -2.66n = 15.498 + -21.882 Combine like terms: 15.498 + -21.882 = -6.384 -2.66n = -6.384 Divide each side by '-2.66'. n = 2.4 Simplifying n = 2.4
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