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Simplifying 2(w + 7) + -9 = 19 Reorder the terms: 2(7 + w) + -9 = 19 (7 * 2 + w * 2) + -9 = 19 (14 + 2w) + -9 = 19 Reorder the terms: 14 + -9 + 2w = 19 Combine like terms: 14 + -9 = 5 5 + 2w = 19 Solving 5 + 2w = 19 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2w = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 19 + -5 2w = 19 + -5 Combine like terms: 19 + -5 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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