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Simplifying 112 + -8w = 24w + -168 Reorder the terms: 112 + -8w = -168 + 24w Solving 112 + -8w = -168 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 112 + -8w + -24w = -168 + 24w + -24w Combine like terms: -8w + -24w = -32w 112 + -32w = -168 + 24w + -24w Combine like terms: 24w + -24w = 0 112 + -32w = -168 + 0 112 + -32w = -168 Add '-112' to each side of the equation. 112 + -112 + -32w = -168 + -112 Combine like terms: 112 + -112 = 0 0 + -32w = -168 + -112 -32w = -168 + -112 Combine like terms: -168 + -112 = -280 -32w = -280 Divide each side by '-32'. w = 8.75 Simplifying w = 8.75
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