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Simplifying 1.5w + 2 + 3w + 3.2 = 5w + 2 Reorder the terms: 2 + 3.2 + 1.5w + 3w = 5w + 2 Combine like terms: 2 + 3.2 = 5.2 5.2 + 1.5w + 3w = 5w + 2 Combine like terms: 1.5w + 3w = 4.5w 5.2 + 4.5w = 5w + 2 Reorder the terms: 5.2 + 4.5w = 2 + 5w Solving 5.2 + 4.5w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 5.2 + 4.5w + -5w = 2 + 5w + -5w Combine like terms: 4.5w + -5w = -0.5w 5.2 + -0.5w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 5.2 + -0.5w = 2 + 0 5.2 + -0.5w = 2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -0.5w = 2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -0.5w = 2 + -5.2 -0.5w = 2 + -5.2 Combine like terms: 2 + -5.2 = -3.2 -0.5w = -3.2 Divide each side by '-0.5'. w = 6.4 Simplifying w = 6.4
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