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Simplifying 1 + 9 = 7w + -2w Combine like terms: 1 + 9 = 10 10 = 7w + -2w Combine like terms: 7w + -2w = 5w 10 = 5w Solving 10 = 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 10 + -5w = 5w + -5w Combine like terms: 5w + -5w = 0 10 + -5w = 0 Add '-10' to each side of the equation. 10 + -10 + -5w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -5w = 0 + -10 -5w = 0 + -10 Combine like terms: 0 + -10 = -10 -5w = -10 Divide each side by '-5'. w = 2 Simplifying w = 2
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