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Simplifying -5w + -35 = -7(w + 7) Reorder the terms: -35 + -5w = -7(w + 7) Reorder the terms: -35 + -5w = -7(7 + w) -35 + -5w = (7 * -7 + w * -7) -35 + -5w = (-49 + -7w) Solving -35 + -5w = -49 + -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. -35 + -5w + 7w = -49 + -7w + 7w Combine like terms: -5w + 7w = 2w -35 + 2w = -49 + -7w + 7w Combine like terms: -7w + 7w = 0 -35 + 2w = -49 + 0 -35 + 2w = -49 Add '35' to each side of the equation. -35 + 35 + 2w = -49 + 35 Combine like terms: -35 + 35 = 0 0 + 2w = -49 + 35 2w = -49 + 35 Combine like terms: -49 + 35 = -14 2w = -14 Divide each side by '2'. w = -7 Simplifying w = -7
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