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Simplifying -9(y + -7w) + 4(2y + w) = 0 Reorder the terms: -9(-7w + y) + 4(2y + w) = 0 (-7w * -9 + y * -9) + 4(2y + w) = 0 (63w + -9y) + 4(2y + w) = 0 Reorder the terms: 63w + -9y + 4(w + 2y) = 0 63w + -9y + (w * 4 + 2y * 4) = 0 63w + -9y + (4w + 8y) = 0 Reorder the terms: 63w + 4w + -9y + 8y = 0 Combine like terms: 63w + 4w = 67w 67w + -9y + 8y = 0 Combine like terms: -9y + 8y = -1y 67w + -1y = 0 Solving 67w + -1y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'y' to each side of the equation. 67w + -1y + y = 0 + y Combine like terms: -1y + y = 0 67w + 0 = 0 + y 67w = 0 + y Remove the zero: 67w = y Divide each side by '67'. w = 0.01492537313y Simplifying w = 0.01492537313y
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