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Simplifying 5.8w + (-2.9w) + -18 = -11.91 Reorder the terms: -18 + 5.8w + (-2.9w) = -11.91 Combine like terms: 5.8w + (-2.9w) = 2.9w -18 + 2.9w = -11.91 Solving -18 + 2.9w = -11.91 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 = -11.91 + 18 Combine like terms: -18 + 18 = 0 0 + 2.9w = -11.91 + 18 2.9w = -11.91 + 18 Combine like terms: -11.91 + 18 = 6.09 2.9w = 6.09 Divide each side by '2.9'. w = 2.1 Simplifying w = 2.1
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