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Simplifying -8w + 5(w + -4) = -38 Reorder the terms: -8w + 5(-4 + w) = -38 -8w + (-4 * 5 + w * 5) = -38 -8w + (-20 + 5w) = -38 Reorder the terms: -20 + -8w + 5w = -38 Combine like terms: -8w + 5w = -3w -20 + -3w = -38 Solving -20 + -3w = -38 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 + -3w = -38 + 20 Combine like terms: -20 + 20 = 0 0 + -3w = -38 + 20 -3w = -38 + 20 Combine like terms: -38 + 20 = -18 -3w = -18 Divide each side by '-3'. w = 6 Simplifying w = 6
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