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Simplifying 3 + 5w = 7w + -2 Reorder the terms: 3 + 5w = -2 + 7w Solving 3 + 5w = -2 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 3 + 5w + -7w = -2 + 7w + -7w Combine like terms: 5w + -7w = -2w 3 + -2w = -2 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -2w = -2 + 0 3 + -2w = -2 Add '-3' to each side of the equation. 3 + -3 + -2w = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = -2 + -3 -2w = -2 + -3 Combine like terms: -2 + -3 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5
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