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Simplifying 112 + -1w = 6w + -168 Reorder the terms: 112 + -1w = -168 + 6w Solving 112 + -1w = -168 + 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. 112 + -1w + -6w = -168 + 6w + -6w Combine like terms: -1w + -6w = -7w 112 + -7w = -168 + 6w + -6w Combine like terms: 6w + -6w = 0 112 + -7w = -168 + 0 112 + -7w = -168 Add '-112' to each side of the equation. 112 + -112 + -7w = -168 + -112 Combine like terms: 112 + -112 = 0 0 + -7w = -168 + -112 -7w = -168 + -112 Combine like terms: -168 + -112 = -280 -7w = -280 Divide each side by '-7'. w = 40 Simplifying w = 40
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