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Simplifying 12w + -2 = 16w + 24 Reorder the terms: -2 + 12w = 16w + 24 Reorder the terms: -2 + 12w = 24 + 16w Solving -2 + 12w = 24 + 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. -2 + 12w + -16w = 24 + 16w + -16w Combine like terms: 12w + -16w = -4w -2 + -4w = 24 + 16w + -16w Combine like terms: 16w + -16w = 0 -2 + -4w = 24 + 0 -2 + -4w = 24 Add '2' to each side of the equation. -2 + 2 + -4w = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -4w = 24 + 2 -4w = 24 + 2 Combine like terms: 24 + 2 = 26 -4w = 26 Divide each side by '-4'. w = -6.5 Simplifying w = -6.5
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