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Simplifying 5w + -14 = 3w Reorder the terms: -14 + 5w = 3w Solving -14 + 5w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -14 + 5w + -3w = 3w + -3w Combine like terms: 5w + -3w = 2w -14 + 2w = 3w + -3w Combine like terms: 3w + -3w = 0 -14 + 2w = 0 Add '14' to each side of the equation. -14 + 14 + 2w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2w = 0 + 14 2w = 0 + 14 Combine like terms: 0 + 14 = 14 2w = 14 Divide each side by '2'. w = 7 Simplifying w = 7
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