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Simplifying 32 + -4w = 16 + 12w Solving 32 + -4w = 16 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 32 + -4w + -12w = 16 + 12w + -12w Combine like terms: -4w + -12w = -16w 32 + -16w = 16 + 12w + -12w Combine like terms: 12w + -12w = 0 32 + -16w = 16 + 0 32 + -16w = 16 Add '-32' to each side of the equation. 32 + -32 + -16w = 16 + -32 Combine like terms: 32 + -32 = 0 0 + -16w = 16 + -32 -16w = 16 + -32 Combine like terms: 16 + -32 = -16 -16w = -16 Divide each side by '-16'. w = 1 Simplifying w = 1
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