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Simplifying 5w + 2 + -3w + 10 = -40 Reorder the terms: 2 + 10 + 5w + -3w = -40 Combine like terms: 2 + 10 = 12 12 + 5w + -3w = -40 Combine like terms: 5w + -3w = 2w 12 + 2w = -40 Solving 12 + 2w = -40 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2w = -40 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -40 + -12 2w = -40 + -12 Combine like terms: -40 + -12 = -52 2w = -52 Divide each side by '2'. w = -26 Simplifying w = -26
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