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Simplifying 8 + -5w = 32 + w Solving 8 + -5w = 32 + 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. 8 + -5w + -1w = 32 + w + -1w Combine like terms: -5w + -1w = -6w 8 + -6w = 32 + w + -1w Combine like terms: w + -1w = 0 8 + -6w = 32 + 0 8 + -6w = 32 Add '-8' to each side of the equation. 8 + -8 + -6w = 32 + -8 Combine like terms: 8 + -8 = 0 0 + -6w = 32 + -8 -6w = 32 + -8 Combine like terms: 32 + -8 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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