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Simplifying 16 = 8(w + 4) + -4w Reorder the terms: 16 = 8(4 + w) + -4w 16 = (4 * 8 + w * 8) + -4w 16 = (32 + 8w) + -4w Combine like terms: 8w + -4w = 4w 16 = 32 + 4w Solving 16 = 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. 16 + -4w = 32 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -4w = 32 + 0 16 + -4w = 32 Add '-16' to each side of the equation. 16 + -16 + -4w = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = 32 + -16 -4w = 32 + -16 Combine like terms: 32 + -16 = 16 -4w = 16 Divide each side by '-4'. w = -4 Simplifying w = -4
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