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