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Simplifying -2(w + -9) + 5w + 1 = 0 Reorder the terms: -2(-9 + w) + 5w + 1 = 0 (-9 * -2 + w * -2) + 5w + 1 = 0 (18 + -2w) + 5w + 1 = 0 Reorder the terms: 18 + 1 + -2w + 5w = 0 Combine like terms: 18 + 1 = 19 19 + -2w + 5w = 0 Combine like terms: -2w + 5w = 3w 19 + 3w = 0 Solving 19 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 3w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 3w = 0 + -19 3w = 0 + -19 Combine like terms: 0 + -19 = -19 3w = -19 Divide each side by '3'. w = -6.333333333 Simplifying w = -6.333333333
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