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Simplifying -5(w + -4) = -7w Reorder the terms: -5(-4 + w) = -7w (-4 * -5 + w * -5) = -7w (20 + -5w) = -7w Solving 20 + -5w = -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. 20 + -5w + 7w = -7w + 7w Combine like terms: -5w + 7w = 2w 20 + 2w = -7w + 7w Combine like terms: -7w + 7w = 0 20 + 2w = 0 Add '-20' to each side of the equation. 20 + -20 + 2w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 2w = 0 + -20 2w = 0 + -20 Combine like terms: 0 + -20 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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