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Simplifying 12 = -6w + 4w + 28 Reorder the terms: 12 = 28 + -6w + 4w Combine like terms: -6w + 4w = -2w 12 = 28 + -2w Solving 12 = 28 + -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 + 2w = 28 + -2w + 2w Combine like terms: -2w + 2w = 0 12 + 2w = 28 + 0 12 + 2w = 28 Add '-12' to each side of the equation. 12 + -12 + 2w = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 28 + -12 2w = 28 + -12 Combine like terms: 28 + -12 = 16 2w = 16 Divide each side by '2'. w = 8 Simplifying w = 8
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