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Simplifying 7(3w + 4) + 9w = 0 Reorder the terms: 7(4 + 3w) + 9w = 0 (4 * 7 + 3w * 7) + 9w = 0 (28 + 21w) + 9w = 0 Combine like terms: 21w + 9w = 30w 28 + 30w = 0 Solving 28 + 30w = 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 + 30w = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 30w = 0 + -28 30w = 0 + -28 Combine like terms: 0 + -28 = -28 30w = -28 Divide each side by '30'. w = -0.9333333333 Simplifying w = -0.9333333333
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