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Simplifying 6(w + -4) + -8w = -38 Reorder the terms: 6(-4 + w) + -8w = -38 (-4 * 6 + w * 6) + -8w = -38 (-24 + 6w) + -8w = -38 Combine like terms: 6w + -8w = -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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