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Simplifying -2(w + 7) + 10w = 34 Reorder the terms: -2(7 + w) + 10w = 34 (7 * -2 + w * -2) + 10w = 34 (-14 + -2w) + 10w = 34 Combine like terms: -2w + 10w = 8w -14 + 8w = 34 Solving -14 + 8w = 34 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 8w = 34 + 14 Combine like terms: -14 + 14 = 0 0 + 8w = 34 + 14 8w = 34 + 14 Combine like terms: 34 + 14 = 48 8w = 48 Divide each side by '8'. w = 6 Simplifying w = 6
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