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Simplifying -7w + -10 = -9w + 8 Reorder the terms: -10 + -7w = -9w + 8 Reorder the terms: -10 + -7w = 8 + -9w Solving -10 + -7w = 8 + -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. -10 + -7w + 9w = 8 + -9w + 9w Combine like terms: -7w + 9w = 2w -10 + 2w = 8 + -9w + 9w Combine like terms: -9w + 9w = 0 -10 + 2w = 8 + 0 -10 + 2w = 8 Add '10' to each side of the equation. -10 + 10 + 2w = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 2w = 8 + 10 2w = 8 + 10 Combine like terms: 8 + 10 = 18 2w = 18 Divide each side by '2'. w = 9 Simplifying w = 9
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