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Simplifying 5.2w + 3 = 6.2 + 2w Reorder the terms: 3 + 5.2w = 6.2 + 2w Solving 3 + 5.2w = 6.2 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 3 + 5.2w + -2w = 6.2 + 2w + -2w Combine like terms: 5.2w + -2w = 3.2w 3 + 3.2w = 6.2 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + 3.2w = 6.2 + 0 3 + 3.2w = 6.2 Add '-3' to each side of the equation. 3 + -3 + 3.2w = 6.2 + -3 Combine like terms: 3 + -3 = 0 0 + 3.2w = 6.2 + -3 3.2w = 6.2 + -3 Combine like terms: 6.2 + -3 = 3.2 3.2w = 3.2 Divide each side by '3.2'. w = 1 Simplifying w = 1
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