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Simplifying 8w + 3 = 12 + -4w Reorder the terms: 3 + 8w = 12 + -4w Solving 3 + 8w = 12 + -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 + 8w + 4w = 12 + -4w + 4w Combine like terms: 8w + 4w = 12w 3 + 12w = 12 + -4w + 4w Combine like terms: -4w + 4w = 0 3 + 12w = 12 + 0 3 + 12w = 12 Add '-3' to each side of the equation. 3 + -3 + 12w = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 12w = 12 + -3 12w = 12 + -3 Combine like terms: 12 + -3 = 9 12w = 9 Divide each side by '12'. w = 0.75 Simplifying w = 0.75
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