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Simplifying -5w + 3(w + -8) = -38 Reorder the terms: -5w + 3(-8 + w) = -38 -5w + (-8 * 3 + w * 3) = -38 -5w + (-24 + 3w) = -38 Reorder the terms: -24 + -5w + 3w = -38 Combine like terms: -5w + 3w = -2w -24 + -2w = -38 Solving -24 + -2w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2w = -38 + 24 Combine like terms: -24 + 24 = 0 0 + -2w = -38 + 24 -2w = -38 + 24 Combine like terms: -38 + 24 = -14 -2w = -14 Divide each side by '-2'. w = 7 Simplifying w = 7
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