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Simplifying 5(w + -7) + 2w = 7 Reorder the terms: 5(-7 + w) + 2w = 7 (-7 * 5 + w * 5) + 2w = 7 (-35 + 5w) + 2w = 7 Combine like terms: 5w + 2w = 7w -35 + 7w = 7 Solving -35 + 7w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 7w = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 7w = 7 + 35 7w = 7 + 35 Combine like terms: 7 + 35 = 42 7w = 42 Divide each side by '7'. w = 6 Simplifying w = 6
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