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Simplifying 19 = 7 + -2w Solving 19 = 7 + -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. 19 + 2w = 7 + -2w + 2w Combine like terms: -2w + 2w = 0 19 + 2w = 7 + 0 19 + 2w = 7 Add '-19' to each side of the equation. 19 + -19 + 2w = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 2w = 7 + -19 2w = 7 + -19 Combine like terms: 7 + -19 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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