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Simplifying 3w + 12 = 8w + 32 Reorder the terms: 12 + 3w = 8w + 32 Reorder the terms: 12 + 3w = 32 + 8w Solving 12 + 3w = 32 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 12 + 3w + -8w = 32 + 8w + -8w Combine like terms: 3w + -8w = -5w 12 + -5w = 32 + 8w + -8w Combine like terms: 8w + -8w = 0 12 + -5w = 32 + 0 12 + -5w = 32 Add '-12' to each side of the equation. 12 + -12 + -5w = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 32 + -12 -5w = 32 + -12 Combine like terms: 32 + -12 = 20 -5w = 20 Divide each side by '-5'. w = -4 Simplifying w = -4
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