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Simplifying 2w + 2(2w + -4) = 46 Reorder the terms: 2w + 2(-4 + 2w) = 46 2w + (-4 * 2 + 2w * 2) = 46 2w + (-8 + 4w) = 46 Reorder the terms: -8 + 2w + 4w = 46 Combine like terms: 2w + 4w = 6w -8 + 6w = 46 Solving -8 + 6w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6w = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 46 + 8 6w = 46 + 8 Combine like terms: 46 + 8 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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