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Simplifying 7w + 19 = 2w + -11 Reorder the terms: 19 + 7w = 2w + -11 Reorder the terms: 19 + 7w = -11 + 2w Solving 19 + 7w = -11 + 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 + 7w + -2w = -11 + 2w + -2w Combine like terms: 7w + -2w = 5w 19 + 5w = -11 + 2w + -2w Combine like terms: 2w + -2w = 0 19 + 5w = -11 + 0 19 + 5w = -11 Add '-19' to each side of the equation. 19 + -19 + 5w = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 5w = -11 + -19 5w = -11 + -19 Combine like terms: -11 + -19 = -30 5w = -30 Divide each side by '5'. w = -6 Simplifying w = -6
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