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Simplifying 2w + 4(6 + -2w) = 36 2w + (6 * 4 + -2w * 4) = 36 2w + (24 + -8w) = 36 Reorder the terms: 24 + 2w + -8w = 36 Combine like terms: 2w + -8w = -6w 24 + -6w = 36 Solving 24 + -6w = 36 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 = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -6w = 36 + -24 -6w = 36 + -24 Combine like terms: 36 + -24 = 12 -6w = 12 Divide each side by '-6'. w = -2 Simplifying w = -2
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