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Simplifying 19 + -9w = -16 + -4w Solving 19 + -9w = -16 + -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 + -9w + 4w = -16 + -4w + 4w Combine like terms: -9w + 4w = -5w 19 + -5w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 19 + -5w = -16 + 0 19 + -5w = -16 Add '-19' to each side of the equation. 19 + -19 + -5w = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -5w = -16 + -19 -5w = -16 + -19 Combine like terms: -16 + -19 = -35 -5w = -35 Divide each side by '-5'. w = 7 Simplifying w = 7
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