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Simplifying 2(w + -2) + 4w = 38 Reorder the terms: 2(-2 + w) + 4w = 38 (-2 * 2 + w * 2) + 4w = 38 (-4 + 2w) + 4w = 38 Combine like terms: 2w + 4w = 6w -4 + 6w = 38 Solving -4 + 6w = 38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6w = 38 + 4 Combine like terms: -4 + 4 = 0 0 + 6w = 38 + 4 6w = 38 + 4 Combine like terms: 38 + 4 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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