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Simplifying 1.5w + 3 = 2 + 2w Reorder the terms: 3 + 1.5w = 2 + 2w Solving 3 + 1.5w = 2 + 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. 3 + 1.5w + -2w = 2 + 2w + -2w Combine like terms: 1.5w + -2w = -0.5w 3 + -0.5w = 2 + 2w + -2w Combine like terms: 2w + -2w = 0 3 + -0.5w = 2 + 0 3 + -0.5w = 2 Add '-3' to each side of the equation. 3 + -3 + -0.5w = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5w = 2 + -3 -0.5w = 2 + -3 Combine like terms: 2 + -3 = -1 -0.5w = -1 Divide each side by '-0.5'. w = 2 Simplifying w = 2
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