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Simplifying 3w + 8 = 32 + -1w Reorder the terms: 8 + 3w = 32 + -1w Solving 8 + 3w = 32 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 8 + 3w + w = 32 + -1w + w Combine like terms: 3w + w = 4w 8 + 4w = 32 + -1w + w Combine like terms: -1w + w = 0 8 + 4w = 32 + 0 8 + 4w = 32 Add '-8' to each side of the equation. 8 + -8 + 4w = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 32 + -8 4w = 32 + -8 Combine like terms: 32 + -8 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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