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Simplifying 6w + 8 = 12 + 8w Reorder the terms: 8 + 6w = 12 + 8w Solving 8 + 6w = 12 + 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. 8 + 6w + -8w = 12 + 8w + -8w Combine like terms: 6w + -8w = -2w 8 + -2w = 12 + 8w + -8w Combine like terms: 8w + -8w = 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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