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Simplifying 3.5w + -1 = 2w + 5 Reorder the terms: -1 + 3.5w = 2w + 5 Reorder the terms: -1 + 3.5w = 5 + 2w Solving -1 + 3.5w = 5 + 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 + 3.5w + -2w = 5 + 2w + -2w Combine like terms: 3.5w + -2w = 1.5w -1 + 1.5w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -1 + 1.5w = 5 + 0 -1 + 1.5w = 5 Add '1' to each side of the equation. -1 + 1 + 1.5w = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 1.5w = 5 + 1 1.5w = 5 + 1 Combine like terms: 5 + 1 = 6 1.5w = 6 Divide each side by '1.5'. w = 4 Simplifying w = 4
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