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Simplifying 5w + 2w + -7 = 35 + 7 Reorder the terms: -7 + 5w + 2w = 35 + 7 Combine like terms: 5w + 2w = 7w -7 + 7w = 35 + 7 Combine like terms: 35 + 7 = 42 -7 + 7w = 42 Solving -7 + 7w = 42 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7w = 42 + 7 Combine like terms: -7 + 7 = 0 0 + 7w = 42 + 7 7w = 42 + 7 Combine like terms: 42 + 7 = 49 7w = 49 Divide each side by '7'. w = 7 Simplifying w = 7
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