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Simplifying -7w + 5(w + -4) = -24 Reorder the terms: -7w + 5(-4 + w) = -24 -7w + (-4 * 5 + w * 5) = -24 -7w + (-20 + 5w) = -24 Reorder the terms: -20 + -7w + 5w = -24 Combine like terms: -7w + 5w = -2w -20 + -2w = -24 Solving -20 + -2w = -24 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2w = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -2w = -24 + 20 -2w = -24 + 20 Combine like terms: -24 + 20 = -4 -2w = -4 Divide each side by '-2'. w = 2 Simplifying w = 2
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