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Simplifying 10 = 12 + -2w Solving 10 = 12 + -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 + 2w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 10 + 2w = 12 + 0 10 + 2w = 12 Add '-10' to each side of the equation. 10 + -10 + 2w = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2w = 12 + -10 2w = 12 + -10 Combine like terms: 12 + -10 = 2 2w = 2 Divide each side by '2'. w = 1 Simplifying w = 1
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