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Simplifying 5w + 2 = 3w + -4 Reorder the terms: 2 + 5w = 3w + -4 Reorder the terms: 2 + 5w = -4 + 3w Solving 2 + 5w = -4 + 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. 2 + 5w + -3w = -4 + 3w + -3w Combine like terms: 5w + -3w = 2w 2 + 2w = -4 + 3w + -3w Combine like terms: 3w + -3w = 0 2 + 2w = -4 + 0 2 + 2w = -4 Add '-2' to each side of the equation. 2 + -2 + 2w = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2w = -4 + -2 2w = -4 + -2 Combine like terms: -4 + -2 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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