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Simplifying 12(2w + -5) = 6w Reorder the terms: 12(-5 + 2w) = 6w (-5 * 12 + 2w * 12) = 6w (-60 + 24w) = 6w Solving -60 + 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. -60 + 24w + -6w = 6w + -6w Combine like terms: 24w + -6w = 18w -60 + 18w = 6w + -6w Combine like terms: 6w + -6w = 0 -60 + 18w = 0 Add '60' to each side of the equation. -60 + 60 + 18w = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 18w = 0 + 60 18w = 0 + 60 Combine like terms: 0 + 60 = 60 18w = 60 Divide each side by '18'. w = 3.333333333 Simplifying w = 3.333333333
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