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Simplifying 5w + -50 = 9 + -12 + w Reorder the terms: -50 + 5w = 9 + -12 + w Combine like terms: 9 + -12 = -3 -50 + 5w = -3 + w Solving -50 + 5w = -3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -50 + 5w + -1w = -3 + w + -1w Combine like terms: 5w + -1w = 4w -50 + 4w = -3 + w + -1w Combine like terms: w + -1w = 0 -50 + 4w = -3 + 0 -50 + 4w = -3 Add '50' to each side of the equation. -50 + 50 + 4w = -3 + 50 Combine like terms: -50 + 50 = 0 0 + 4w = -3 + 50 4w = -3 + 50 Combine like terms: -3 + 50 = 47 4w = 47 Divide each side by '4'. w = 11.75 Simplifying w = 11.75
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