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Simplifying 12w + 3 = 4w + 21 Reorder the terms: 3 + 12w = 4w + 21 Reorder the terms: 3 + 12w = 21 + 4w Solving 3 + 12w = 21 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + 12w + -4w = 21 + 4w + -4w Combine like terms: 12w + -4w = 8w 3 + 8w = 21 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 8w = 21 + 0 3 + 8w = 21 Add '-3' to each side of the equation. 3 + -3 + 8w = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 8w = 21 + -3 8w = 21 + -3 Combine like terms: 21 + -3 = 18 8w = 18 Divide each side by '8'. w = 2.25 Simplifying w = 2.25
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