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Simplifying 1 + 0.66w + 0.5 = 2w Reorder the terms: 1 + 0.5 + 0.66w = 2w Combine like terms: 1 + 0.5 = 1.5 1.5 + 0.66w = 2w Solving 1.5 + 0.66w = 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. 1.5 + 0.66w + -2w = 2w + -2w Combine like terms: 0.66w + -2w = -1.34w 1.5 + -1.34w = 2w + -2w Combine like terms: 2w + -2w = 0 1.5 + -1.34w = 0 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -1.34w = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -1.34w = 0 + -1.5 -1.34w = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -1.34w = -1.5 Divide each side by '-1.34'. w = 1.119402985 Simplifying w = 1.119402985
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