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Simplifying 45 = 2w + -32 Reorder the terms: 45 = -32 + 2w Solving 45 = -32 + 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. 45 + -2w = -32 + 2w + -2w Combine like terms: 2w + -2w = 0 45 + -2w = -32 + 0 45 + -2w = -32 Add '-45' to each side of the equation. 45 + -45 + -2w = -32 + -45 Combine like terms: 45 + -45 = 0 0 + -2w = -32 + -45 -2w = -32 + -45 Combine like terms: -32 + -45 = -77 -2w = -77 Divide each side by '-2'. w = 38.5 Simplifying w = 38.5
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