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Simplifying 8w + 7 = 7 + -10w Reorder the terms: 7 + 8w = 7 + -10w Add '-7' to each side of the equation. 7 + -7 + 8w = 7 + -7 + -10w Combine like terms: 7 + -7 = 0 0 + 8w = 7 + -7 + -10w 8w = 7 + -7 + -10w Combine like terms: 7 + -7 = 0 8w = 0 + -10w 8w = -10w Solving 8w = -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 8w + 10w = -10w + 10w Combine like terms: 8w + 10w = 18w 18w = -10w + 10w Combine like terms: -10w + 10w = 0 18w = 0 Divide each side by '18'. w = 0 Simplifying w = 0
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