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Simplifying 12w + 19w + -7 + 5 = -4w + 5 + -7 Reorder the terms: -7 + 5 + 12w + 19w = -4w + 5 + -7 Combine like terms: -7 + 5 = -2 -2 + 12w + 19w = -4w + 5 + -7 Combine like terms: 12w + 19w = 31w -2 + 31w = -4w + 5 + -7 Reorder the terms: -2 + 31w = 5 + -7 + -4w Combine like terms: 5 + -7 = -2 -2 + 31w = -2 + -4w Add '2' to each side of the equation. -2 + 2 + 31w = -2 + 2 + -4w Combine like terms: -2 + 2 = 0 0 + 31w = -2 + 2 + -4w 31w = -2 + 2 + -4w Combine like terms: -2 + 2 = 0 31w = 0 + -4w 31w = -4w Solving 31w = -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. 31w + 4w = -4w + 4w Combine like terms: 31w + 4w = 35w 35w = -4w + 4w Combine like terms: -4w + 4w = 0 35w = 0 Divide each side by '35'. w = 0 Simplifying w = 0
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