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Simplifying 14 + -4w = 12w + -21 Reorder the terms: 14 + -4w = -21 + 12w Solving 14 + -4w = -21 + 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. 14 + -4w + -12w = -21 + 12w + -12w Combine like terms: -4w + -12w = -16w 14 + -16w = -21 + 12w + -12w Combine like terms: 12w + -12w = 0 14 + -16w = -21 + 0 14 + -16w = -21 Add '-14' to each side of the equation. 14 + -14 + -16w = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -16w = -21 + -14 -16w = -21 + -14 Combine like terms: -21 + -14 = -35 -16w = -35 Divide each side by '-16'. w = 2.1875 Simplifying w = 2.1875
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