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Simplifying 2w + 7 + -5w = -17 Reorder the terms: 7 + 2w + -5w = -17 Combine like terms: 2w + -5w = -3w 7 + -3w = -17 Solving 7 + -3w = -17 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 + -3w = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = -17 + -7 -3w = -17 + -7 Combine like terms: -17 + -7 = -24 -3w = -24 Divide each side by '-3'. w = 8 Simplifying w = 8
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