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Simplifying 2(w + -7) + 5w = 14 Reorder the terms: 2(-7 + w) + 5w = 14 (-7 * 2 + w * 2) + 5w = 14 (-14 + 2w) + 5w = 14 Combine like terms: 2w + 5w = 7w -14 + 7w = 14 Solving -14 + 7w = 14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 7w = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 7w = 14 + 14 7w = 14 + 14 Combine like terms: 14 + 14 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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