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Simplifying 112(2w + -3) = 6w Reorder the terms: 112(-3 + 2w) = 6w (-3 * 112 + 2w * 112) = 6w (-336 + 224w) = 6w Solving -336 + 224w = 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. -336 + 224w + -6w = 6w + -6w Combine like terms: 224w + -6w = 218w -336 + 218w = 6w + -6w Combine like terms: 6w + -6w = 0 -336 + 218w = 0 Add '336' to each side of the equation. -336 + 336 + 218w = 0 + 336 Combine like terms: -336 + 336 = 0 0 + 218w = 0 + 336 218w = 0 + 336 Combine like terms: 0 + 336 = 336 218w = 336 Divide each side by '218'. w = 1.541284404 Simplifying w = 1.541284404
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