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Simplifying 4w + -49 = 5w + -76 Reorder the terms: -49 + 4w = 5w + -76 Reorder the terms: -49 + 4w = -76 + 5w Solving -49 + 4w = -76 + 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. -49 + 4w + -5w = -76 + 5w + -5w Combine like terms: 4w + -5w = -1w -49 + -1w = -76 + 5w + -5w Combine like terms: 5w + -5w = 0 -49 + -1w = -76 + 0 -49 + -1w = -76 Add '49' to each side of the equation. -49 + 49 + -1w = -76 + 49 Combine like terms: -49 + 49 = 0 0 + -1w = -76 + 49 -1w = -76 + 49 Combine like terms: -76 + 49 = -27 -1w = -27 Divide each side by '-1'. w = 27 Simplifying w = 27
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