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Simplifying -12w + 39 = -16w + 7 Reorder the terms: 39 + -12w = -16w + 7 Reorder the terms: 39 + -12w = 7 + -16w Solving 39 + -12w = 7 + -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. 39 + -12w + 16w = 7 + -16w + 16w Combine like terms: -12w + 16w = 4w 39 + 4w = 7 + -16w + 16w Combine like terms: -16w + 16w = 0 39 + 4w = 7 + 0 39 + 4w = 7 Add '-39' to each side of the equation. 39 + -39 + 4w = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 4w = 7 + -39 4w = 7 + -39 Combine like terms: 7 + -39 = -32 4w = -32 Divide each side by '4'. w = -8 Simplifying w = -8
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