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Simplifying w2 + 14W + 49 = 2w2 + 12w + 41 Reorder the terms: 49 + 14W + w2 = 2w2 + 12w + 41 Reorder the terms: 49 + 14W + w2 = 41 + 12w + 2w2 Solving 49 + 14W + w2 = 41 + 12w + 2w2 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + 14W + -49 + w2 = 41 + 12w + -49 + 2w2 Reorder the terms: 49 + -49 + 14W + w2 = 41 + 12w + -49 + 2w2 Combine like terms: 49 + -49 = 0 0 + 14W + w2 = 41 + 12w + -49 + 2w2 14W + w2 = 41 + 12w + -49 + 2w2 Reorder the terms: 14W + w2 = 41 + -49 + 12w + 2w2 Combine like terms: 41 + -49 = -8 14W + w2 = -8 + 12w + 2w2 Add '-1w2' to each side of the equation. 14W + w2 + -1w2 = -8 + 12w + 2w2 + -1w2 Combine like terms: w2 + -1w2 = 0 14W + 0 = -8 + 12w + 2w2 + -1w2 14W = -8 + 12w + 2w2 + -1w2 Combine like terms: 2w2 + -1w2 = 1w2 14W = -8 + 12w + 1w2 Divide each side by '14'. W = -0.5714285714 + 0.8571428571w + 0.07142857143w2 Simplifying W = -0.5714285714 + 0.8571428571w + 0.07142857143w2
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