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Simplifying 4w + -2(1 + -1w) = 8 4w + (1 * -2 + -1w * -2) = 8 4w + (-2 + 2w) = 8 Reorder the terms: -2 + 4w + 2w = 8 Combine like terms: 4w + 2w = 6w -2 + 6w = 8 Solving -2 + 6w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 6w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 6w = 8 + 2 6w = 8 + 2 Combine like terms: 8 + 2 = 10 6w = 10 Divide each side by '6'. w = 1.666666667 Simplifying w = 1.666666667
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