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Simplifying 6w + 9 = -3w Reorder the terms: 9 + 6w = -3w Solving 9 + 6w = -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. 9 + 6w + 3w = -3w + 3w Combine like terms: 6w + 3w = 9w 9 + 9w = -3w + 3w Combine like terms: -3w + 3w = 0 9 + 9w = 0 Add '-9' to each side of the equation. 9 + -9 + 9w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9w = 0 + -9 9w = 0 + -9 Combine like terms: 0 + -9 = -9 9w = -9 Divide each side by '9'. w = -1 Simplifying w = -1
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