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Simplifying 2w + -4 = -5(w + 5) Reorder the terms: -4 + 2w = -5(w + 5) Reorder the terms: -4 + 2w = -5(5 + w) -4 + 2w = (5 * -5 + w * -5) -4 + 2w = (-25 + -5w) Solving -4 + 2w = -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. -4 + 2w + 5w = -25 + -5w + 5w Combine like terms: 2w + 5w = 7w -4 + 7w = -25 + -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 7w = -25 + 0 -4 + 7w = -25 Add '4' to each side of the equation. -4 + 4 + 7w = -25 + 4 Combine like terms: -4 + 4 = 0 0 + 7w = -25 + 4 7w = -25 + 4 Combine like terms: -25 + 4 = -21 7w = -21 Divide each side by '7'. w = -3 Simplifying w = -3
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