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Simplifying 21.882 + 4.9n = (1.8n + 3.69) Reorder the terms: 21.882 + 4.9n = (3.69 + 1.8n) Remove parenthesis around (3.69 + 1.8n) 21.882 + 4.9n = 3.69 + 1.8n Solving 21.882 + 4.9n = 3.69 + 1.8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.8n' to each side of the equation. 21.882 + 4.9n + -1.8n = 3.69 + 1.8n + -1.8n Combine like terms: 4.9n + -1.8n = 3.1n 21.882 + 3.1n = 3.69 + 1.8n + -1.8n Combine like terms: 1.8n + -1.8n = 0.0 21.882 + 3.1n = 3.69 + 0.0 21.882 + 3.1n = 3.69 Add '-21.882' to each side of the equation. 21.882 + -21.882 + 3.1n = 3.69 + -21.882 Combine like terms: 21.882 + -21.882 = 0.000 0.000 + 3.1n = 3.69 + -21.882 3.1n = 3.69 + -21.882 Combine like terms: 3.69 + -21.882 = -18.192 3.1n = -18.192 Divide each side by '3.1'. n = -5.868387097 Simplifying n = -5.868387097
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