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Simplifying -5(w + 5) = -7w + -7 Reorder the terms: -5(5 + w) = -7w + -7 (5 * -5 + w * -5) = -7w + -7 (-25 + -5w) = -7w + -7 Reorder the terms: -25 + -5w = -7 + -7w Solving -25 + -5w = -7 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -25 + -5w + 7w = -7 + -7w + 7w Combine like terms: -5w + 7w = 2w -25 + 2w = -7 + -7w + 7w Combine like terms: -7w + 7w = 0 -25 + 2w = -7 + 0 -25 + 2w = -7 Add '25' to each side of the equation. -25 + 25 + 2w = -7 + 25 Combine like terms: -25 + 25 = 0 0 + 2w = -7 + 25 2w = -7 + 25 Combine like terms: -7 + 25 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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