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Simplifying -5 = 5(w + -5) + 5w Reorder the terms: -5 = 5(-5 + w) + 5w -5 = (-5 * 5 + w * 5) + 5w -5 = (-25 + 5w) + 5w Combine like terms: 5w + 5w = 10w -5 = -25 + 10w Solving -5 = -25 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -5 + -10w = -25 + 10w + -10w Combine like terms: 10w + -10w = 0 -5 + -10w = -25 + 0 -5 + -10w = -25 Add '5' to each side of the equation. -5 + 5 + -10w = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -10w = -25 + 5 -10w = -25 + 5 Combine like terms: -25 + 5 = -20 -10w = -20 Divide each side by '-10'. w = 2 Simplifying w = 2
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