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Simplifying 19 = 4(w + -2) + 5w Reorder the terms: 19 = 4(-2 + w) + 5w 19 = (-2 * 4 + w * 4) + 5w 19 = (-8 + 4w) + 5w Combine like terms: 4w + 5w = 9w 19 = -8 + 9w Solving 19 = -8 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 19 + -9w = -8 + 9w + -9w Combine like terms: 9w + -9w = 0 19 + -9w = -8 + 0 19 + -9w = -8 Add '-19' to each side of the equation. 19 + -19 + -9w = -8 + -19 Combine like terms: 19 + -19 = 0 0 + -9w = -8 + -19 -9w = -8 + -19 Combine like terms: -8 + -19 = -27 -9w = -27 Divide each side by '-9'. w = 3 Simplifying w = 3
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