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Simplifying 2.4 + 5.1w = 4.2w + -6.6 Reorder the terms: 2.4 + 5.1w = -6.6 + 4.2w Solving 2.4 + 5.1w = -6.6 + 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. 2.4 + 5.1w + -4.2w = -6.6 + 4.2w + -4.2w Combine like terms: 5.1w + -4.2w = 0.9w 2.4 + 0.9w = -6.6 + 4.2w + -4.2w Combine like terms: 4.2w + -4.2w = 0.0 2.4 + 0.9w = -6.6 + 0.0 2.4 + 0.9w = -6.6 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.9w = -6.6 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.9w = -6.6 + -2.4 0.9w = -6.6 + -2.4 Combine like terms: -6.6 + -2.4 = -9 0.9w = -9 Divide each side by '0.9'. w = -10 Simplifying w = -10
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