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Simplifying 2w + -19 + 3w + -7 + 31 = 180 Reorder the terms: -19 + -7 + 31 + 2w + 3w = 180 Combine like terms: -19 + -7 = -26 -26 + 31 + 2w + 3w = 180 Combine like terms: -26 + 31 = 5 5 + 2w + 3w = 180 Combine like terms: 2w + 3w = 5w 5 + 5w = 180 Solving 5 + 5w = 180 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5w = 180 + -5 Combine like terms: 5 + -5 = 0 0 + 5w = 180 + -5 5w = 180 + -5 Combine like terms: 180 + -5 = 175 5w = 175 Divide each side by '5'. w = 35 Simplifying w = 35
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