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Simplifying 19 = 2w + -9 Reorder the terms: 19 = -9 + 2w Solving 19 = -9 + 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 = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 19 + -2w = -9 + 0 19 + -2w = -9 Add '-19' to each side of the equation. 19 + -19 + -2w = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -2w = -9 + -19 -2w = -9 + -19 Combine like terms: -9 + -19 = -28 -2w = -28 Divide each side by '-2'. w = 14 Simplifying w = 14
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