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