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Simplifying 38 = 2(w + 7) + -5w Reorder the terms: 38 = 2(7 + w) + -5w 38 = (7 * 2 + w * 2) + -5w 38 = (14 + 2w) + -5w Combine like terms: 2w + -5w = -3w 38 = 14 + -3w Solving 38 = 14 + -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 = 14 + -3w + 3w Combine like terms: -3w + 3w = 0 38 + 3w = 14 + 0 38 + 3w = 14 Add '-38' to each side of the equation. 38 + -38 + 3w = 14 + -38 Combine like terms: 38 + -38 = 0 0 + 3w = 14 + -38 3w = 14 + -38 Combine like terms: 14 + -38 = -24 3w = -24 Divide each side by '3'. w = -8 Simplifying w = -8
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