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Simplifying 9w + -2(w + -4) = 4W + 38 Reorder the terms: 9w + -2(-4 + w) = 4W + 38 9w + (-4 * -2 + w * -2) = 4W + 38 9w + (8 + -2w) = 4W + 38 Reorder the terms: 8 + 9w + -2w = 4W + 38 Combine like terms: 9w + -2w = 7w 8 + 7w = 4W + 38 Reorder the terms: 8 + 7w = 38 + 4W Solving 8 + 7w = 38 + 4W 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 + 7w = 38 + -8 + 4W Combine like terms: 8 + -8 = 0 0 + 7w = 38 + -8 + 4W 7w = 38 + -8 + 4W Combine like terms: 38 + -8 = 30 7w = 30 + 4W Divide each side by '7'. w = 4.285714286 + 0.5714285714W Simplifying w = 4.285714286 + 0.5714285714W
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