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Simplifying 7(5 + 4w) + 6(8w + -3) = 0 (5 * 7 + 4w * 7) + 6(8w + -3) = 0 (35 + 28w) + 6(8w + -3) = 0 Reorder the terms: 35 + 28w + 6(-3 + 8w) = 0 35 + 28w + (-3 * 6 + 8w * 6) = 0 35 + 28w + (-18 + 48w) = 0 Reorder the terms: 35 + -18 + 28w + 48w = 0 Combine like terms: 35 + -18 = 17 17 + 28w + 48w = 0 Combine like terms: 28w + 48w = 76w 17 + 76w = 0 Solving 17 + 76w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 76w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 76w = 0 + -17 76w = 0 + -17 Combine like terms: 0 + -17 = -17 76w = -17 Divide each side by '76'. w = -0.2236842105 Simplifying w = -0.2236842105
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