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Simplifying -3(w + -9) + 8w + 1 = 0 Reorder the terms: -3(-9 + w) + 8w + 1 = 0 (-9 * -3 + w * -3) + 8w + 1 = 0 (27 + -3w) + 8w + 1 = 0 Reorder the terms: 27 + 1 + -3w + 8w = 0 Combine like terms: 27 + 1 = 28 28 + -3w + 8w = 0 Combine like terms: -3w + 8w = 5w 28 + 5w = 0 Solving 28 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 5w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 5w = 0 + -28 5w = 0 + -28 Combine like terms: 0 + -28 = -28 5w = -28 Divide each side by '5'. w = -5.6 Simplifying w = -5.6
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