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Simplifying -6.8w + -17w + -19.6 = -18.8w + 19.4 Reorder the terms: -19.6 + -6.8w + -17w = -18.8w + 19.4 Combine like terms: -6.8w + -17w = -23.8w -19.6 + -23.8w = -18.8w + 19.4 Reorder the terms: -19.6 + -23.8w = 19.4 + -18.8w Solving -19.6 + -23.8w = 19.4 + -18.8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18.8w' to each side of the equation. -19.6 + -23.8w + 18.8w = 19.4 + -18.8w + 18.8w Combine like terms: -23.8w + 18.8w = -5w -19.6 + -5w = 19.4 + -18.8w + 18.8w Combine like terms: -18.8w + 18.8w = 0.0 -19.6 + -5w = 19.4 + 0.0 -19.6 + -5w = 19.4 Add '19.6' to each side of the equation. -19.6 + 19.6 + -5w = 19.4 + 19.6 Combine like terms: -19.6 + 19.6 = 0.0 0.0 + -5w = 19.4 + 19.6 -5w = 19.4 + 19.6 Combine like terms: 19.4 + 19.6 = 39 -5w = 39 Divide each side by '-5'. w = -7.8 Simplifying w = -7.8
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