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Simplifying 19 = -9w + -5 + 6w Reorder the terms: 19 = -5 + -9w + 6w Combine like terms: -9w + 6w = -3w 19 = -5 + -3w Solving 19 = -5 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 19 + 3w = -5 + -3w + 3w Combine like terms: -3w + 3w = 0 19 + 3w = -5 + 0 19 + 3w = -5 Add '-19' to each side of the equation. 19 + -19 + 3w = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = -5 + -19 3w = -5 + -19 Combine like terms: -5 + -19 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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