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Simplifying 8w + -12 = 3w + 8 Reorder the terms: -12 + 8w = 3w + 8 Reorder the terms: -12 + 8w = 8 + 3w Solving -12 + 8w = 8 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -12 + 8w + -3w = 8 + 3w + -3w Combine like terms: 8w + -3w = 5w -12 + 5w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 5w = 8 + 0 -12 + 5w = 8 Add '12' to each side of the equation. -12 + 12 + 5w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = 8 + 12 5w = 8 + 12 Combine like terms: 8 + 12 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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