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Simplifying 14 + 2w = 20 + 1.50w Solving 14 + 2w = 20 + 1.50w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.50w' to each side of the equation. 14 + 2w + -1.50w = 20 + 1.50w + -1.50w Combine like terms: 2w + -1.50w = 0.5w 14 + 0.5w = 20 + 1.50w + -1.50w Combine like terms: 1.50w + -1.50w = 0.00 14 + 0.5w = 20 + 0.00 14 + 0.5w = 20 Add '-14' to each side of the equation. 14 + -14 + 0.5w = 20 + -14 Combine like terms: 14 + -14 = 0 0 + 0.5w = 20 + -14 0.5w = 20 + -14 Combine like terms: 20 + -14 = 6 0.5w = 6 Divide each side by '0.5'. w = 12 Simplifying w = 12
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