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Simplifying -6w + 26 = 8(w + 5) Reorder the terms: 26 + -6w = 8(w + 5) Reorder the terms: 26 + -6w = 8(5 + w) 26 + -6w = (5 * 8 + w * 8) 26 + -6w = (40 + 8w) Solving 26 + -6w = 40 + 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. 26 + -6w + -8w = 40 + 8w + -8w Combine like terms: -6w + -8w = -14w 26 + -14w = 40 + 8w + -8w Combine like terms: 8w + -8w = 0 26 + -14w = 40 + 0 26 + -14w = 40 Add '-26' to each side of the equation. 26 + -26 + -14w = 40 + -26 Combine like terms: 26 + -26 = 0 0 + -14w = 40 + -26 -14w = 40 + -26 Combine like terms: 40 + -26 = 14 -14w = 14 Divide each side by '-14'. w = -1 Simplifying w = -1
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