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Simplifying 2.5 = 2w + -6.5 Reorder the terms: 2.5 = -6.5 + 2w Solving 2.5 = -6.5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 2.5 + -2w = -6.5 + 2w + -2w Combine like terms: 2w + -2w = 0 2.5 + -2w = -6.5 + 0 2.5 + -2w = -6.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -2w = -6.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -2w = -6.5 + -2.5 -2w = -6.5 + -2.5 Combine like terms: -6.5 + -2.5 = -9 -2w = -9 Divide each side by '-2'. w = 4.5 Simplifying w = 4.5
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