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Simplifying 5w + -4 = 3w + 2 Reorder the terms: -4 + 5w = 3w + 2 Reorder the terms: -4 + 5w = 2 + 3w Solving -4 + 5w = 2 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -4 + 5w + -3w = 2 + 3w + -3w Combine like terms: 5w + -3w = 2w -4 + 2w = 2 + 3w + -3w Combine like terms: 3w + -3w = 0 -4 + 2w = 2 + 0 -4 + 2w = 2 Add '4' to each side of the equation. -4 + 4 + 2w = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2w = 2 + 4 2w = 2 + 4 Combine like terms: 2 + 4 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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