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Simplifying 12(2w + -31) = 6w Reorder the terms: 12(-31 + 2w) = 6w (-31 * 12 + 2w * 12) = 6w (-372 + 24w) = 6w Solving -372 + 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. -372 + 24w + -6w = 6w + -6w Combine like terms: 24w + -6w = 18w -372 + 18w = 6w + -6w Combine like terms: 6w + -6w = 0 -372 + 18w = 0 Add '372' to each side of the equation. -372 + 372 + 18w = 0 + 372 Combine like terms: -372 + 372 = 0 0 + 18w = 0 + 372 18w = 0 + 372 Combine like terms: 0 + 372 = 372 18w = 372 Divide each side by '18'. w = 20.66666667 Simplifying w = 20.66666667
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