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Simplifying -15 + 7w = 30 + -2w Solving -15 + 7w = 30 + -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. -15 + 7w + 2w = 30 + -2w + 2w Combine like terms: 7w + 2w = 9w -15 + 9w = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 -15 + 9w = 30 + 0 -15 + 9w = 30 Add '15' to each side of the equation. -15 + 15 + 9w = 30 + 15 Combine like terms: -15 + 15 = 0 0 + 9w = 30 + 15 9w = 30 + 15 Combine like terms: 30 + 15 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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