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Simplifying 14w = 16(w + 12) Reorder the terms: 14w = 16(12 + w) 14w = (12 * 16 + w * 16) 14w = (192 + 16w) Solving 14w = 192 + 16w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16w' to each side of the equation. 14w + -16w = 192 + 16w + -16w Combine like terms: 14w + -16w = -2w -2w = 192 + 16w + -16w Combine like terms: 16w + -16w = 0 -2w = 192 + 0 -2w = 192 Divide each side by '-2'. w = -96 Simplifying w = -96
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