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Simplifying 31 = 26 + -4(-5 + -2w) 31 = 26 + (-5 * -4 + -2w * -4) 31 = 26 + (20 + 8w) Combine like terms: 26 + 20 = 46 31 = 46 + 8w Solving 31 = 46 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 31 + -8w = 46 + 8w + -8w Combine like terms: 8w + -8w = 0 31 + -8w = 46 + 0 31 + -8w = 46 Add '-31' to each side of the equation. 31 + -31 + -8w = 46 + -31 Combine like terms: 31 + -31 = 0 0 + -8w = 46 + -31 -8w = 46 + -31 Combine like terms: 46 + -31 = 15 -8w = 15 Divide each side by '-8'. w = -1.875 Simplifying w = -1.875
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