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Simplifying -3w + 26 = -5(w + -4) Reorder the terms: 26 + -3w = -5(w + -4) Reorder the terms: 26 + -3w = -5(-4 + w) 26 + -3w = (-4 * -5 + w * -5) 26 + -3w = (20 + -5w) Solving 26 + -3w = 20 + -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. 26 + -3w + 5w = 20 + -5w + 5w Combine like terms: -3w + 5w = 2w 26 + 2w = 20 + -5w + 5w Combine like terms: -5w + 5w = 0 26 + 2w = 20 + 0 26 + 2w = 20 Add '-26' to each side of the equation. 26 + -26 + 2w = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 2w = 20 + -26 2w = 20 + -26 Combine like terms: 20 + -26 = -6 2w = -6 Divide each side by '2'. w = -3 Simplifying w = -3
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