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Simplifying -19w + 4 + -10w = 12w + -5 + -5w Reorder the terms: 4 + -19w + -10w = 12w + -5 + -5w Combine like terms: -19w + -10w = -29w 4 + -29w = 12w + -5 + -5w Reorder the terms: 4 + -29w = -5 + 12w + -5w Combine like terms: 12w + -5w = 7w 4 + -29w = -5 + 7w Solving 4 + -29w = -5 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 4 + -29w + -7w = -5 + 7w + -7w Combine like terms: -29w + -7w = -36w 4 + -36w = -5 + 7w + -7w Combine like terms: 7w + -7w = 0 4 + -36w = -5 + 0 4 + -36w = -5 Add '-4' to each side of the equation. 4 + -4 + -36w = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -36w = -5 + -4 -36w = -5 + -4 Combine like terms: -5 + -4 = -9 -36w = -9 Divide each side by '-36'. w = 0.25 Simplifying w = 0.25
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