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Simplifying 7w + -10 = 3w + -5w Reorder the terms: -10 + 7w = 3w + -5w Combine like terms: 3w + -5w = -2w -10 + 7w = -2w Solving -10 + 7w = -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -10 + 7w + 2w = -2w + 2w Combine like terms: 7w + 2w = 9w -10 + 9w = -2w + 2w Combine like terms: -2w + 2w = 0 -10 + 9w = 0 Add '10' to each side of the equation. -10 + 10 + 9w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 9w = 0 + 10 9w = 0 + 10 Combine like terms: 0 + 10 = 10 9w = 10 Divide each side by '9'. w = 1.111111111 Simplifying w = 1.111111111
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