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Simplifying 12w + -8 = 16w + 21 Reorder the terms: -8 + 12w = 16w + 21 Reorder the terms: -8 + 12w = 21 + 16w Solving -8 + 12w = 21 + 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. -8 + 12w + -16w = 21 + 16w + -16w Combine like terms: 12w + -16w = -4w -8 + -4w = 21 + 16w + -16w Combine like terms: 16w + -16w = 0 -8 + -4w = 21 + 0 -8 + -4w = 21 Add '8' to each side of the equation. -8 + 8 + -4w = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -4w = 21 + 8 -4w = 21 + 8 Combine like terms: 21 + 8 = 29 -4w = 29 Divide each side by '-4'. w = -7.25 Simplifying w = -7.25
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