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Simplifying 8w + 12 = 6w + 4 Reorder the terms: 12 + 8w = 6w + 4 Reorder the terms: 12 + 8w = 4 + 6w Solving 12 + 8w = 4 + 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. 12 + 8w + -6w = 4 + 6w + -6w Combine like terms: 8w + -6w = 2w 12 + 2w = 4 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + 2w = 4 + 0 12 + 2w = 4 Add '-12' to each side of the equation. 12 + -12 + 2w = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 4 + -12 2w = 4 + -12 Combine like terms: 4 + -12 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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