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