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Simplifying 442 = (2w) + 2(4w + -4) Reorder the terms: 442 = (2w) + 2(-4 + 4w) 442 = (2w) + (-4 * 2 + 4w * 2) 442 = (2w) + (-8 + 8w) Reorder the terms: 442 = -8 + (2w) + 8w Combine like terms: (2w) + 8w = 10w 442 = -8 + 10w Solving 442 = -8 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 442 + -10w = -8 + 10w + -10w Combine like terms: 10w + -10w = 0 442 + -10w = -8 + 0 442 + -10w = -8 Add '-442' to each side of the equation. 442 + -442 + -10w = -8 + -442 Combine like terms: 442 + -442 = 0 0 + -10w = -8 + -442 -10w = -8 + -442 Combine like terms: -8 + -442 = -450 -10w = -450 Divide each side by '-10'. w = 45 Simplifying w = 45
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