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Simplifying 6 + -2(1 + -1w) = (-38) + -4w 6 + (1 * -2 + -1w * -2) = (-38) + -4w 6 + (-2 + 2w) = (-38) + -4w Combine like terms: 6 + -2 = 4 4 + 2w = (-38) + -4w 4 + 2w = -38 + -4w Solving 4 + 2w = -38 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4 + 2w + 4w = -38 + -4w + 4w Combine like terms: 2w + 4w = 6w 4 + 6w = -38 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 6w = -38 + 0 4 + 6w = -38 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 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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