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Simplifying 4w + -2(1 + -8) = -38 Combine like terms: 1 + -8 = -7 4w + -2(-7) = -38 Multiply -2 * -7 4w + 14 = -38 Reorder the terms: 14 + 4w = -38 Solving 14 + 4w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4w = -38 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = -38 + -14 4w = -38 + -14 Combine like terms: -38 + -14 = -52 4w = -52 Divide each side by '4'. w = -13 Simplifying w = -13
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