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Simplifying 5.8w + (-2.9w) + -18 = 5.2 Reorder the terms: -18 + 5.8w + (-2.9w) = 5.2 Combine like terms: 5.8w + (-2.9w) = 2.9w -18 + 2.9w = 5.2 Solving -18 + 2.9w = 5.2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 2.9w = 5.2 + 18 Combine like terms: -18 + 18 = 0 0 + 2.9w = 5.2 + 18 2.9w = 5.2 + 18 Combine like terms: 5.2 + 18 = 23.2 2.9w = 23.2 Divide each side by '2.9'. w = 8 Simplifying w = 8
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