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Simplifying -5w + 14 = w + -10 Reorder the terms: 14 + -5w = w + -10 Reorder the terms: 14 + -5w = -10 + w Solving 14 + -5w = -10 + 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 = -10 + w + -1w Combine like terms: -5w + -1w = -6w 14 + -6w = -10 + w + -1w Combine like terms: w + -1w = 0 14 + -6w = -10 + 0 14 + -6w = -10 Add '-14' to each side of the equation. 14 + -14 + -6w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -6w = -10 + -14 -6w = -10 + -14 Combine like terms: -10 + -14 = -24 -6w = -24 Divide each side by '-6'. w = 4 Simplifying w = 4
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