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Simplifying -2w + 32 = 2w Reorder the terms: 32 + -2w = 2w Solving 32 + -2w = 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. 32 + -2w + -2w = 2w + -2w Combine like terms: -2w + -2w = -4w 32 + -4w = 2w + -2w Combine like terms: 2w + -2w = 0 32 + -4w = 0 Add '-32' to each side of the equation. 32 + -32 + -4w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -4w = 0 + -32 -4w = 0 + -32 Combine like terms: 0 + -32 = -32 -4w = -32 Divide each side by '-4'. w = 8 Simplifying w = 8
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