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Simplifying 9(7w + 2) + 4(7w + 4) = 0 Reorder the terms: 9(2 + 7w) + 4(7w + 4) = 0 (2 * 9 + 7w * 9) + 4(7w + 4) = 0 (18 + 63w) + 4(7w + 4) = 0 Reorder the terms: 18 + 63w + 4(4 + 7w) = 0 18 + 63w + (4 * 4 + 7w * 4) = 0 18 + 63w + (16 + 28w) = 0 Reorder the terms: 18 + 16 + 63w + 28w = 0 Combine like terms: 18 + 16 = 34 34 + 63w + 28w = 0 Combine like terms: 63w + 28w = 91w 34 + 91w = 0 Solving 34 + 91w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 91w = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 91w = 0 + -34 91w = 0 + -34 Combine like terms: 0 + -34 = -34 91w = -34 Divide each side by '91'. w = -0.3736263736 Simplifying w = -0.3736263736
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