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Simplifying -12 = 6w + 18 + -9w Reorder the terms: -12 = 18 + 6w + -9w Combine like terms: 6w + -9w = -3w -12 = 18 + -3w Solving -12 = 18 + -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. -12 + 3w = 18 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 3w = 18 + 0 -12 + 3w = 18 Add '12' to each side of the equation. -12 + 12 + 3w = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 3w = 18 + 12 3w = 18 + 12 Combine like terms: 18 + 12 = 30 3w = 30 Divide each side by '3'. w = 10 Simplifying w = 10
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