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Simplifying -2w + 4 = 6w + -6 + 2w + 12 Reorder the terms: 4 + -2w = 6w + -6 + 2w + 12 Reorder the terms: 4 + -2w = -6 + 12 + 6w + 2w Combine like terms: -6 + 12 = 6 4 + -2w = 6 + 6w + 2w Combine like terms: 6w + 2w = 8w 4 + -2w = 6 + 8w Solving 4 + -2w = 6 + 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. 4 + -2w + -8w = 6 + 8w + -8w Combine like terms: -2w + -8w = -10w 4 + -10w = 6 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + -10w = 6 + 0 4 + -10w = 6 Add '-4' to each side of the equation. 4 + -4 + -10w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -10w = 6 + -4 -10w = 6 + -4 Combine like terms: 6 + -4 = 2 -10w = 2 Divide each side by '-10'. w = -0.2 Simplifying w = -0.2
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