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Simplifying -5(w + 5) = -8w + -22 Reorder the terms: -5(5 + w) = -8w + -22 (5 * -5 + w * -5) = -8w + -22 (-25 + -5w) = -8w + -22 Reorder the terms: -25 + -5w = -22 + -8w Solving -25 + -5w = -22 + -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. -25 + -5w + 8w = -22 + -8w + 8w Combine like terms: -5w + 8w = 3w -25 + 3w = -22 + -8w + 8w Combine like terms: -8w + 8w = 0 -25 + 3w = -22 + 0 -25 + 3w = -22 Add '25' to each side of the equation. -25 + 25 + 3w = -22 + 25 Combine like terms: -25 + 25 = 0 0 + 3w = -22 + 25 3w = -22 + 25 Combine like terms: -22 + 25 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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