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Simplifying -19 = 2w + 9 + -6w Reorder the terms: -19 = 9 + 2w + -6w Combine like terms: 2w + -6w = -4w -19 = 9 + -4w Solving -19 = 9 + -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. -19 + 4w = 9 + -4w + 4w Combine like terms: -4w + 4w = 0 -19 + 4w = 9 + 0 -19 + 4w = 9 Add '19' to each side of the equation. -19 + 19 + 4w = 9 + 19 Combine like terms: -19 + 19 = 0 0 + 4w = 9 + 19 4w = 9 + 19 Combine like terms: 9 + 19 = 28 4w = 28 Divide each side by '4'. w = 7 Simplifying w = 7
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