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Simplifying 19 = 10 + -5w + 9w + -7 Reorder the terms: 19 = 10 + -7 + -5w + 9w Combine like terms: 10 + -7 = 3 19 = 3 + -5w + 9w Combine like terms: -5w + 9w = 4w 19 = 3 + 4w Solving 19 = 3 + 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 = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 19 + -4w = 3 + 0 19 + -4w = 3 Add '-19' to each side of the equation. 19 + -19 + -4w = 3 + -19 Combine like terms: 19 + -19 = 0 0 + -4w = 3 + -19 -4w = 3 + -19 Combine like terms: 3 + -19 = -16 -4w = -16 Divide each side by '-4'. w = 4 Simplifying w = 4
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