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Simplifying -2w + 4(w + 7) = 32 Reorder the terms: -2w + 4(7 + w) = 32 -2w + (7 * 4 + w * 4) = 32 -2w + (28 + 4w) = 32 Reorder the terms: 28 + -2w + 4w = 32 Combine like terms: -2w + 4w = 2w 28 + 2w = 32 Solving 28 + 2w = 32 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2w = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 2w = 32 + -28 2w = 32 + -28 Combine like terms: 32 + -28 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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