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Simplifying 8w + -26 = 5(w + -4) Reorder the terms: -26 + 8w = 5(w + -4) Reorder the terms: -26 + 8w = 5(-4 + w) -26 + 8w = (-4 * 5 + w * 5) -26 + 8w = (-20 + 5w) Solving -26 + 8w = -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 + 8w + -5w = -20 + 5w + -5w Combine like terms: 8w + -5w = 3w -26 + 3w = -20 + 5w + -5w Combine like terms: 5w + -5w = 0 -26 + 3w = -20 + 0 -26 + 3w = -20 Add '26' to each side of the equation. -26 + 26 + 3w = -20 + 26 Combine like terms: -26 + 26 = 0 0 + 3w = -20 + 26 3w = -20 + 26 Combine like terms: -20 + 26 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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