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Simplifying 9w + -15 = 7w + 5 Reorder the terms: -15 + 9w = 7w + 5 Reorder the terms: -15 + 9w = 5 + 7w Solving -15 + 9w = 5 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -15 + 9w + -7w = 5 + 7w + -7w Combine like terms: 9w + -7w = 2w -15 + 2w = 5 + 7w + -7w Combine like terms: 7w + -7w = 0 -15 + 2w = 5 + 0 -15 + 2w = 5 Add '15' to each side of the equation. -15 + 15 + 2w = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = 5 + 15 2w = 5 + 15 Combine like terms: 5 + 15 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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