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Simplifying -2(5w + -2) = 4(4 + -2w) Reorder the terms: -2(-2 + 5w) = 4(4 + -2w) (-2 * -2 + 5w * -2) = 4(4 + -2w) (4 + -10w) = 4(4 + -2w) 4 + -10w = (4 * 4 + -2w * 4) 4 + -10w = (16 + -8w) Solving 4 + -10w = 16 + -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 + -10w + 8w = 16 + -8w + 8w Combine like terms: -10w + 8w = -2w 4 + -2w = 16 + -8w + 8w Combine like terms: -8w + 8w = 0 4 + -2w = 16 + 0 4 + -2w = 16 Add '-4' to each side of the equation. 4 + -4 + -2w = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -2w = 16 + -4 -2w = 16 + -4 Combine like terms: 16 + -4 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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