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Simplifying 2(3w + -8) = -38 Reorder the terms: 2(-8 + 3w) = -38 (-8 * 2 + 3w * 2) = -38 (-16 + 6w) = -38 Solving -16 + 6w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6w = -38 + 16 Combine like terms: -16 + 16 = 0 0 + 6w = -38 + 16 6w = -38 + 16 Combine like terms: -38 + 16 = -22 6w = -22 Divide each side by '6'. w = -3.666666667 Simplifying w = -3.666666667
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