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Simplifying 7(w + 5) + -5w = 19 Reorder the terms: 7(5 + w) + -5w = 19 (5 * 7 + w * 7) + -5w = 19 (35 + 7w) + -5w = 19 Combine like terms: 7w + -5w = 2w 35 + 2w = 19 Solving 35 + 2w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 2w = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 2w = 19 + -35 2w = 19 + -35 Combine like terms: 19 + -35 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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