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Simplifying -9w + -49 = -5(w + 5) Reorder the terms: -49 + -9w = -5(w + 5) Reorder the terms: -49 + -9w = -5(5 + w) -49 + -9w = (5 * -5 + w * -5) -49 + -9w = (-25 + -5w) Solving -49 + -9w = -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. -49 + -9w + 5w = -25 + -5w + 5w Combine like terms: -9w + 5w = -4w -49 + -4w = -25 + -5w + 5w Combine like terms: -5w + 5w = 0 -49 + -4w = -25 + 0 -49 + -4w = -25 Add '49' to each side of the equation. -49 + 49 + -4w = -25 + 49 Combine like terms: -49 + 49 = 0 0 + -4w = -25 + 49 -4w = -25 + 49 Combine like terms: -25 + 49 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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