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Simplifying -3 + 7 = -9w + 49 Combine like terms: -3 + 7 = 4 4 = -9w + 49 Reorder the terms: 4 = 49 + -9w Solving 4 = 49 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 4 + 9w = 49 + -9w + 9w Combine like terms: -9w + 9w = 0 4 + 9w = 49 + 0 4 + 9w = 49 Add '-4' to each side of the equation. 4 + -4 + 9w = 49 + -4 Combine like terms: 4 + -4 = 0 0 + 9w = 49 + -4 9w = 49 + -4 Combine like terms: 49 + -4 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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