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Simplifying 7.8 + 3.5w + -1.5w = 6.8 Combine like terms: 3.5w + -1.5w = 2w 7.8 + 2w = 6.8 Solving 7.8 + 2w = 6.8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.8' to each side of the equation. 7.8 + -7.8 + 2w = 6.8 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + 2w = 6.8 + -7.8 2w = 6.8 + -7.8 Combine like terms: 6.8 + -7.8 = -1 2w = -1 Divide each side by '2'. w = -0.5 Simplifying w = -0.5
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