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Simplifying 32 = 9w + -3w + 2 Reorder the terms: 32 = 2 + 9w + -3w Combine like terms: 9w + -3w = 6w 32 = 2 + 6w Solving 32 = 2 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 32 + -6w = 2 + 6w + -6w Combine like terms: 6w + -6w = 0 32 + -6w = 2 + 0 32 + -6w = 2 Add '-32' to each side of the equation. 32 + -32 + -6w = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -6w = 2 + -32 -6w = 2 + -32 Combine like terms: 2 + -32 = -30 -6w = -30 Divide each side by '-6'. w = 5 Simplifying w = 5
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