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Simplifying 14 + -1w = 6w + -168 + 6w Reorder the terms: 14 + -1w = -168 + 6w + 6w Combine like terms: 6w + 6w = 12w 14 + -1w = -168 + 12w Solving 14 + -1w = -168 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 14 + -1w + -12w = -168 + 12w + -12w Combine like terms: -1w + -12w = -13w 14 + -13w = -168 + 12w + -12w Combine like terms: 12w + -12w = 0 14 + -13w = -168 + 0 14 + -13w = -168 Add '-14' to each side of the equation. 14 + -14 + -13w = -168 + -14 Combine like terms: 14 + -14 = 0 0 + -13w = -168 + -14 -13w = -168 + -14 Combine like terms: -168 + -14 = -182 -13w = -182 Divide each side by '-13'. w = 14 Simplifying w = 14
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