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Simplifying 30 + -12w = 7 + -16w Solving 30 + -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. 30 + -12w + 16w = 7 + -16w + 16w Combine like terms: -12w + 16w = 4w 30 + 4w = 7 + -16w + 16w Combine like terms: -16w + 16w = 0 30 + 4w = 7 + 0 30 + 4w = 7 Add '-30' to each side of the equation. 30 + -30 + 4w = 7 + -30 Combine like terms: 30 + -30 = 0 0 + 4w = 7 + -30 4w = 7 + -30 Combine like terms: 7 + -30 = -23 4w = -23 Divide each side by '4'. w = -5.75 Simplifying w = -5.75
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