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Simplifying -7w + 7 = 5w + -17 Reorder the terms: 7 + -7w = 5w + -17 Reorder the terms: 7 + -7w = -17 + 5w Solving 7 + -7w = -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. 7 + -7w + -5w = -17 + 5w + -5w Combine like terms: -7w + -5w = -12w 7 + -12w = -17 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + -12w = -17 + 0 7 + -12w = -17 Add '-7' to each side of the equation. 7 + -7 + -12w = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -12w = -17 + -7 -12w = -17 + -7 Combine like terms: -17 + -7 = -24 -12w = -24 Divide each side by '-12'. w = 2 Simplifying w = 2
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