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Simplifying -38 = 7w + 17 + -12w Reorder the terms: -38 = 17 + 7w + -12w Combine like terms: 7w + -12w = -5w -38 = 17 + -5w Solving -38 = 17 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -38 + 5w = 17 + -5w + 5w Combine like terms: -5w + 5w = 0 -38 + 5w = 17 + 0 -38 + 5w = 17 Add '38' to each side of the equation. -38 + 38 + 5w = 17 + 38 Combine like terms: -38 + 38 = 0 0 + 5w = 17 + 38 5w = 17 + 38 Combine like terms: 17 + 38 = 55 5w = 55 Divide each side by '5'. w = 11 Simplifying w = 11
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