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Simplifying 6(4 + -1w) = 2w (4 * 6 + -1w * 6) = 2w (24 + -6w) = 2w Solving 24 + -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. 24 + -6w + -2w = 2w + -2w Combine like terms: -6w + -2w = -8w 24 + -8w = 2w + -2w Combine like terms: 2w + -2w = 0 24 + -8w = 0 Add '-24' to each side of the equation. 24 + -24 + -8w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -8w = 0 + -24 -8w = 0 + -24 Combine like terms: 0 + -24 = -24 -8w = -24 Divide each side by '-8'. w = 3 Simplifying w = 3
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