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Simplifying 7w + 10 = 9w + -10 Reorder the terms: 10 + 7w = 9w + -10 Reorder the terms: 10 + 7w = -10 + 9w Solving 10 + 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. 10 + 7w + -9w = -10 + 9w + -9w Combine like terms: 7w + -9w = -2w 10 + -2w = -10 + 9w + -9w Combine like terms: 9w + -9w = 0 10 + -2w = -10 + 0 10 + -2w = -10 Add '-10' to each side of the equation. 10 + -10 + -2w = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -10 + -10 -2w = -10 + -10 Combine like terms: -10 + -10 = -20 -2w = -20 Divide each side by '-2'. w = 10 Simplifying w = 10
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