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Simplifying 9 + -2w + 16 = -6w + -19 Reorder the terms: 9 + 16 + -2w = -6w + -19 Combine like terms: 9 + 16 = 25 25 + -2w = -6w + -19 Reorder the terms: 25 + -2w = -19 + -6w Solving 25 + -2w = -19 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 25 + -2w + 6w = -19 + -6w + 6w Combine like terms: -2w + 6w = 4w 25 + 4w = -19 + -6w + 6w Combine like terms: -6w + 6w = 0 25 + 4w = -19 + 0 25 + 4w = -19 Add '-25' to each side of the equation. 25 + -25 + 4w = -19 + -25 Combine like terms: 25 + -25 = 0 0 + 4w = -19 + -25 4w = -19 + -25 Combine like terms: -19 + -25 = -44 4w = -44 Divide each side by '4'. w = -11 Simplifying w = -11
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