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Simplifying -1w + 32 = w + -2 Reorder the terms: 32 + -1w = w + -2 Reorder the terms: 32 + -1w = -2 + w Solving 32 + -1w = -2 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 32 + -1w + -1w = -2 + w + -1w Combine like terms: -1w + -1w = -2w 32 + -2w = -2 + w + -1w Combine like terms: w + -1w = 0 32 + -2w = -2 + 0 32 + -2w = -2 Add '-32' to each side of the equation. 32 + -32 + -2w = -2 + -32 Combine like terms: 32 + -32 = 0 0 + -2w = -2 + -32 -2w = -2 + -32 Combine like terms: -2 + -32 = -34 -2w = -34 Divide each side by '-2'. w = 17 Simplifying w = 17
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