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Simplifying 5 + -6w = 3w + 32 Reorder the terms: 5 + -6w = 32 + 3w Solving 5 + -6w = 32 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5 + -6w + -3w = 32 + 3w + -3w Combine like terms: -6w + -3w = -9w 5 + -9w = 32 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + -9w = 32 + 0 5 + -9w = 32 Add '-5' to each side of the equation. 5 + -5 + -9w = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -9w = 32 + -5 -9w = 32 + -5 Combine like terms: 32 + -5 = 27 -9w = 27 Divide each side by '-9'. w = -3 Simplifying w = -3
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