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Simplifying -19 + 7 = 2w + -4w Combine like terms: -19 + 7 = -12 -12 = 2w + -4w Combine like terms: 2w + -4w = -2w -12 = -2w Solving -12 = -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. -12 + 2w = -2w + 2w Combine like terms: -2w + 2w = 0 -12 + 2w = 0 Add '12' to each side of the equation. -12 + 12 + 2w = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2w = 0 + 12 2w = 0 + 12 Combine like terms: 0 + 12 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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