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Simplifying -6(w + -5) = 8w + 44 Reorder the terms: -6(-5 + w) = 8w + 44 (-5 * -6 + w * -6) = 8w + 44 (30 + -6w) = 8w + 44 Reorder the terms: 30 + -6w = 44 + 8w Solving 30 + -6w = 44 + 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. 30 + -6w + -8w = 44 + 8w + -8w Combine like terms: -6w + -8w = -14w 30 + -14w = 44 + 8w + -8w Combine like terms: 8w + -8w = 0 30 + -14w = 44 + 0 30 + -14w = 44 Add '-30' to each side of the equation. 30 + -30 + -14w = 44 + -30 Combine like terms: 30 + -30 = 0 0 + -14w = 44 + -30 -14w = 44 + -30 Combine like terms: 44 + -30 = 14 -14w = 14 Divide each side by '-14'. w = -1 Simplifying w = -1
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