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Simplifying 2(w + -7) = 32 Reorder the terms: 2(-7 + w) = 32 (-7 * 2 + w * 2) = 32 (-14 + 2w) = 32 Solving -14 + 2w = 32 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 + 2w = 32 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = 32 + 14 2w = 32 + 14 Combine like terms: 32 + 14 = 46 2w = 46 Divide each side by '2'. w = 23 Simplifying w = 23
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