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Simplifying 54 + (-32) = 32 + 2w + -32 54 + -32 = 32 + 2w + -32 Combine like terms: 54 + -32 = 22 22 = 32 + 2w + -32 Reorder the terms: 22 = 32 + -32 + 2w Combine like terms: 32 + -32 = 0 22 = 0 + 2w 22 = 2w Solving 22 = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 22 + -2w = 2w + -2w Combine like terms: 2w + -2w = 0 22 + -2w = 0 Add '-22' to each side of the equation. 22 + -22 + -2w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2w = 0 + -22 -2w = 0 + -22 Combine like terms: 0 + -22 = -22 -2w = -22 Divide each side by '-2'. w = 11 Simplifying w = 11
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