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Simplifying 8 + -4w = 12 + -6w Solving 8 + -4w = 12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 8 + -4w + 6w = 12 + -6w + 6w Combine like terms: -4w + 6w = 2w 8 + 2w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 2w = 12 + 0 8 + 2w = 12 Add '-8' to each side of the equation. 8 + -8 + 2w = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 12 + -8 2w = 12 + -8 Combine like terms: 12 + -8 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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