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Simplifying 4w + -2 + 2(w + -1) = -38 Reorder the terms: 4w + -2 + 2(-1 + w) = -38 4w + -2 + (-1 * 2 + w * 2) = -38 4w + -2 + (-2 + 2w) = -38 Reorder the terms: -2 + -2 + 4w + 2w = -38 Combine like terms: -2 + -2 = -4 -4 + 4w + 2w = -38 Combine like terms: 4w + 2w = 6w -4 + 6w = -38 Solving -4 + 6w = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 6w = -38 + 4 Combine like terms: -4 + 4 = 0 0 + 6w = -38 + 4 6w = -38 + 4 Combine like terms: -38 + 4 = -34 6w = -34 Divide each side by '6'. w = -5.666666667 Simplifying w = -5.666666667
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