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Simplifying -3w + -35 = -5(w + 5) Reorder the terms: -35 + -3w = -5(w + 5) Reorder the terms: -35 + -3w = -5(5 + w) -35 + -3w = (5 * -5 + w * -5) -35 + -3w = (-25 + -5w) Solving -35 + -3w = -25 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -35 + -3w + 5w = -25 + -5w + 5w Combine like terms: -3w + 5w = 2w -35 + 2w = -25 + -5w + 5w Combine like terms: -5w + 5w = 0 -35 + 2w = -25 + 0 -35 + 2w = -25 Add '35' to each side of the equation. -35 + 35 + 2w = -25 + 35 Combine like terms: -35 + 35 = 0 0 + 2w = -25 + 35 2w = -25 + 35 Combine like terms: -25 + 35 = 10 2w = 10 Divide each side by '2'. w = 5 Simplifying w = 5
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