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Simplifying 6w + 12 + -2w = 2w + -4 Reorder the terms: 12 + 6w + -2w = 2w + -4 Combine like terms: 6w + -2w = 4w 12 + 4w = 2w + -4 Reorder the terms: 12 + 4w = -4 + 2w Solving 12 + 4w = -4 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + 4w + -2w = -4 + 2w + -2w Combine like terms: 4w + -2w = 2w 12 + 2w = -4 + 2w + -2w Combine like terms: 2w + -2w = 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 = -16 2w = -16 Divide each side by '2'. w = -8 Simplifying w = -8
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