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Simplifying 12(2w + -2) = 6w Reorder the terms: 12(-2 + 2w) = 6w (-2 * 12 + 2w * 12) = 6w (-24 + 24w) = 6w Solving -24 + 24w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -24 + 24w + -6w = 6w + -6w Combine like terms: 24w + -6w = 18w -24 + 18w = 6w + -6w Combine like terms: 6w + -6w = 0 -24 + 18w = 0 Add '24' to each side of the equation. -24 + 24 + 18w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 18w = 0 + 24 18w = 0 + 24 Combine like terms: 0 + 24 = 24 18w = 24 Divide each side by '18'. w = 1.333333333 Simplifying w = 1.333333333
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