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Simplifying 38 = 2(w + 4) + -5w Reorder the terms: 38 = 2(4 + w) + -5w 38 = (4 * 2 + w * 2) + -5w 38 = (8 + 2w) + -5w Combine like terms: 2w + -5w = -3w 38 = 8 + -3w Solving 38 = 8 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 38 + 3w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 38 + 3w = 8 + 0 38 + 3w = 8 Add '-38' to each side of the equation. 38 + -38 + 3w = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 3w = 8 + -38 3w = 8 + -38 Combine like terms: 8 + -38 = -30 3w = -30 Divide each side by '3'. w = -10 Simplifying w = -10
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