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Simplifying 4w + -2(x + -1w) = -38 Reorder the terms: 4w + -2(-1w + x) = -38 4w + (-1w * -2 + x * -2) = -38 4w + (2w + -2x) = -38 Combine like terms: 4w + 2w = 6w 6w + -2x = -38 Solving 6w + -2x = -38 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2x' to each side of the equation. 6w + -2x + 2x = -38 + 2x Combine like terms: -2x + 2x = 0 6w + 0 = -38 + 2x 6w = -38 + 2x Divide each side by '6'. w = -6.333333333 + 0.3333333333x Simplifying w = -6.333333333 + 0.3333333333x
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