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Simplifying 5 + 2 + -2(-9w + -1) = 5w + -2 Reorder the terms: 5 + 2 + -2(-1 + -9w) = 5w + -2 5 + 2 + (-1 * -2 + -9w * -2) = 5w + -2 5 + 2 + (2 + 18w) = 5w + -2 Combine like terms: 5 + 2 = 7 7 + 2 + 18w = 5w + -2 Combine like terms: 7 + 2 = 9 9 + 18w = 5w + -2 Reorder the terms: 9 + 18w = -2 + 5w Solving 9 + 18w = -2 + 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. 9 + 18w + -5w = -2 + 5w + -5w Combine like terms: 18w + -5w = 13w 9 + 13w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + 13w = -2 + 0 9 + 13w = -2 Add '-9' to each side of the equation. 9 + -9 + 13w = -2 + -9 Combine like terms: 9 + -9 = 0 0 + 13w = -2 + -9 13w = -2 + -9 Combine like terms: -2 + -9 = -11 13w = -11 Divide each side by '13'. w = -0.8461538462 Simplifying w = -0.8461538462
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