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Simplifying 3w + -125 = 5w + -25 Reorder the terms: -125 + 3w = 5w + -25 Reorder the terms: -125 + 3w = -25 + 5w Solving -125 + 3w = -25 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -125 + 3w + -5w = -25 + 5w + -5w Combine like terms: 3w + -5w = -2w -125 + -2w = -25 + 5w + -5w Combine like terms: 5w + -5w = 0 -125 + -2w = -25 + 0 -125 + -2w = -25 Add '125' to each side of the equation. -125 + 125 + -2w = -25 + 125 Combine like terms: -125 + 125 = 0 0 + -2w = -25 + 125 -2w = -25 + 125 Combine like terms: -25 + 125 = 100 -2w = 100 Divide each side by '-2'. w = -50 Simplifying w = -50
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