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Simplifying 14 + -7w = 5w Solving 14 + -7w = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 14 + -7w + -5w = 5w + -5w Combine like terms: -7w + -5w = -12w 14 + -12w = 5w + -5w Combine like terms: 5w + -5w = 0 14 + -12w = 0 Add '-14' to each side of the equation. 14 + -14 + -12w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -12w = 0 + -14 -12w = 0 + -14 Combine like terms: 0 + -14 = -14 -12w = -14 Divide each side by '-12'. w = 1.166666667 Simplifying w = 1.166666667
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