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Simplifying -12w + 16 = 4w + -96 Reorder the terms: 16 + -12w = 4w + -96 Reorder the terms: 16 + -12w = -96 + 4w Solving 16 + -12w = -96 + 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 + -12w + -4w = -96 + 4w + -4w Combine like terms: -12w + -4w = -16w 16 + -16w = -96 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -16w = -96 + 0 16 + -16w = -96 Add '-16' to each side of the equation. 16 + -16 + -16w = -96 + -16 Combine like terms: 16 + -16 = 0 0 + -16w = -96 + -16 -16w = -96 + -16 Combine like terms: -96 + -16 = -112 -16w = -112 Divide each side by '-16'. w = 7 Simplifying w = 7
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