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Simplifying 5w + -2 = 2w + -5 Reorder the terms: -2 + 5w = 2w + -5 Reorder the terms: -2 + 5w = -5 + 2w Solving -2 + 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. -2 + 5w + -2w = -5 + 2w + -2w Combine like terms: 5w + -2w = 3w -2 + 3w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 3w = -5 + 0 -2 + 3w = -5 Add '2' to each side of the equation. -2 + 2 + 3w = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 3w = -5 + 2 3w = -5 + 2 Combine like terms: -5 + 2 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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