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Simplifying 17w + 7 + -12w = -38 Reorder the terms: 7 + 17w + -12w = -38 Combine like terms: 17w + -12w = 5w 7 + 5w = -38 Solving 7 + 5w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5w = -38 + -7 Combine like terms: 7 + -7 = 0 0 + 5w = -38 + -7 5w = -38 + -7 Combine like terms: -38 + -7 = -45 5w = -45 Divide each side by '5'. w = -9 Simplifying w = -9
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