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Simplifying 0.7w + -0.5 = -0.5w + 5.5 Reorder the terms: -0.5 + 0.7w = -0.5w + 5.5 Reorder the terms: -0.5 + 0.7w = 5.5 + -0.5w Solving -0.5 + 0.7w = 5.5 + -0.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.5w' to each side of the equation. -0.5 + 0.7w + 0.5w = 5.5 + -0.5w + 0.5w Combine like terms: 0.7w + 0.5w = 1.2w -0.5 + 1.2w = 5.5 + -0.5w + 0.5w Combine like terms: -0.5w + 0.5w = 0.0 -0.5 + 1.2w = 5.5 + 0.0 -0.5 + 1.2w = 5.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1.2w = 5.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1.2w = 5.5 + 0.5 1.2w = 5.5 + 0.5 Combine like terms: 5.5 + 0.5 = 6 1.2w = 6 Divide each side by '1.2'. w = 5 Simplifying w = 5
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