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Simplifying 8w + 8 = 4(w + 8) Reorder the terms: 8 + 8w = 4(w + 8) Reorder the terms: 8 + 8w = 4(8 + w) 8 + 8w = (8 * 4 + w * 4) 8 + 8w = (32 + 4w) Solving 8 + 8w = 32 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 8 + 8w + -4w = 32 + 4w + -4w Combine like terms: 8w + -4w = 4w 8 + 4w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 8 + 4w = 32 + 0 8 + 4w = 32 Add '-8' to each side of the equation. 8 + -8 + 4w = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 32 + -8 4w = 32 + -8 Combine like terms: 32 + -8 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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