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Simplifying 10w + 20 + -5w + 25 = 4w + 12 Reorder the terms: 20 + 25 + 10w + -5w = 4w + 12 Combine like terms: 20 + 25 = 45 45 + 10w + -5w = 4w + 12 Combine like terms: 10w + -5w = 5w 45 + 5w = 4w + 12 Reorder the terms: 45 + 5w = 12 + 4w Solving 45 + 5w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 45 + 5w + -4w = 12 + 4w + -4w Combine like terms: 5w + -4w = 1w 45 + 1w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 45 + 1w = 12 + 0 45 + 1w = 12 Add '-45' to each side of the equation. 45 + -45 + 1w = 12 + -45 Combine like terms: 45 + -45 = 0 0 + 1w = 12 + -45 1w = 12 + -45 Combine like terms: 12 + -45 = -33 1w = -33 Divide each side by '1'. w = -33 Simplifying w = -33
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