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