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Simplifying 5.4w + 5.1 = 4.2w + 6.3 Reorder the terms: 5.1 + 5.4w = 4.2w + 6.3 Reorder the terms: 5.1 + 5.4w = 6.3 + 4.2w Solving 5.1 + 5.4w = 6.3 + 4.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.2w' to each side of the equation. 5.1 + 5.4w + -4.2w = 6.3 + 4.2w + -4.2w Combine like terms: 5.4w + -4.2w = 1.2w 5.1 + 1.2w = 6.3 + 4.2w + -4.2w Combine like terms: 4.2w + -4.2w = 0.0 5.1 + 1.2w = 6.3 + 0.0 5.1 + 1.2w = 6.3 Add '-5.1' to each side of the equation. 5.1 + -5.1 + 1.2w = 6.3 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + 1.2w = 6.3 + -5.1 1.2w = 6.3 + -5.1 Combine like terms: 6.3 + -5.1 = 1.2 1.2w = 1.2 Divide each side by '1.2'. w = 1 Simplifying w = 1
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