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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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