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Simplifying 9 + -2w + 3 + -4w + 6 + -12 = 0 Reorder the terms: 9 + 3 + 6 + -12 + -2w + -4w = 0 Combine like terms: 9 + 3 = 12 12 + 6 + -12 + -2w + -4w = 0 Combine like terms: 12 + 6 = 18 18 + -12 + -2w + -4w = 0 Combine like terms: 18 + -12 = 6 6 + -2w + -4w = 0 Combine like terms: -2w + -4w = -6w 6 + -6w = 0 Solving 6 + -6w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -6w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6w = 0 + -6 -6w = 0 + -6 Combine like terms: 0 + -6 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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