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Simplifying 3.5w + 3.5 = 5w + 2 Reorder the terms: 3.5 + 3.5w = 5w + 2 Reorder the terms: 3.5 + 3.5w = 2 + 5w Solving 3.5 + 3.5w = 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. 3.5 + 3.5w + -5w = 2 + 5w + -5w Combine like terms: 3.5w + -5w = -1.5w 3.5 + -1.5w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 3.5 + -1.5w = 2 + 0 3.5 + -1.5w = 2 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -1.5w = 2 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -1.5w = 2 + -3.5 -1.5w = 2 + -3.5 Combine like terms: 2 + -3.5 = -1.5 -1.5w = -1.5 Divide each side by '-1.5'. w = 1 Simplifying w = 1
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