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Simplifying 4w + -2(3 + -1w) = 2w + -6 4w + (3 * -2 + -1w * -2) = 2w + -6 4w + (-6 + 2w) = 2w + -6 Reorder the terms: -6 + 4w + 2w = 2w + -6 Combine like terms: 4w + 2w = 6w -6 + 6w = 2w + -6 Reorder the terms: -6 + 6w = -6 + 2w Add '6' to each side of the equation. -6 + 6 + 6w = -6 + 6 + 2w Combine like terms: -6 + 6 = 0 0 + 6w = -6 + 6 + 2w 6w = -6 + 6 + 2w Combine like terms: -6 + 6 = 0 6w = 0 + 2w 6w = 2w Solving 6w = 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 6w + -2w = 2w + -2w Combine like terms: 6w + -2w = 4w 4w = 2w + -2w Combine like terms: 2w + -2w = 0 4w = 0 Divide each side by '4'. w = 0 Simplifying w = 0
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