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Simplifying 6w + 4 = -2w + -12 Reorder the terms: 4 + 6w = -2w + -12 Reorder the terms: 4 + 6w = -12 + -2w Solving 4 + 6w = -12 + -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. 4 + 6w + 2w = -12 + -2w + 2w Combine like terms: 6w + 2w = 8w 4 + 8w = -12 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 8w = -12 + 0 4 + 8w = -12 Add '-4' to each side of the equation. 4 + -4 + 8w = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = -12 + -4 8w = -12 + -4 Combine like terms: -12 + -4 = -16 8w = -16 Divide each side by '8'. w = -2 Simplifying w = -2
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