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Simplifying 14 + -5w = w + 8 Reorder the terms: 14 + -5w = 8 + w Solving 14 + -5w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 14 + -5w + -1w = 8 + w + -1w Combine like terms: -5w + -1w = -6w 14 + -6w = 8 + w + -1w Combine like terms: w + -1w = 0 14 + -6w = 8 + 0 14 + -6w = 8 Add '-14' to each side of the equation. 14 + -14 + -6w = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -6w = 8 + -14 -6w = 8 + -14 Combine like terms: 8 + -14 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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