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Simplifying 12w + 19w + -4 + 1 = -2w + 1 + -4 Reorder the terms: -4 + 1 + 12w + 19w = -2w + 1 + -4 Combine like terms: -4 + 1 = -3 -3 + 12w + 19w = -2w + 1 + -4 Combine like terms: 12w + 19w = 31w -3 + 31w = -2w + 1 + -4 Reorder the terms: -3 + 31w = 1 + -4 + -2w Combine like terms: 1 + -4 = -3 -3 + 31w = -3 + -2w Add '3' to each side of the equation. -3 + 3 + 31w = -3 + 3 + -2w Combine like terms: -3 + 3 = 0 0 + 31w = -3 + 3 + -2w 31w = -3 + 3 + -2w Combine like terms: -3 + 3 = 0 31w = 0 + -2w 31w = -2w Solving 31w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 31w + 2w = -2w + 2w Combine like terms: 31w + 2w = 33w 33w = -2w + 2w Combine like terms: -2w + 2w = 0 33w = 0 Divide each side by '33'. w = 0 Simplifying w = 0
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