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Simplifying 2(2w + -12) + 2w = 96 Reorder the terms: 2(-12 + 2w) + 2w = 96 (-12 * 2 + 2w * 2) + 2w = 96 (-24 + 4w) + 2w = 96 Combine like terms: 4w + 2w = 6w -24 + 6w = 96 Solving -24 + 6w = 96 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 6w = 96 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = 96 + 24 6w = 96 + 24 Combine like terms: 96 + 24 = 120 6w = 120 Divide each side by '6'. w = 20 Simplifying w = 20
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