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Simplifying -18.79 + 18.5w = 19.2w + -8.99 Reorder the terms: -18.79 + 18.5w = -8.99 + 19.2w Solving -18.79 + 18.5w = -8.99 + 19.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19.2w' to each side of the equation. -18.79 + 18.5w + -19.2w = -8.99 + 19.2w + -19.2w Combine like terms: 18.5w + -19.2w = -0.7w -18.79 + -0.7w = -8.99 + 19.2w + -19.2w Combine like terms: 19.2w + -19.2w = 0.0 -18.79 + -0.7w = -8.99 + 0.0 -18.79 + -0.7w = -8.99 Add '18.79' to each side of the equation. -18.79 + 18.79 + -0.7w = -8.99 + 18.79 Combine like terms: -18.79 + 18.79 = 0.00 0.00 + -0.7w = -8.99 + 18.79 -0.7w = -8.99 + 18.79 Combine like terms: -8.99 + 18.79 = 9.8 -0.7w = 9.8 Divide each side by '-0.7'. w = -14 Simplifying w = -14
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