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Simplifying 9(7a + 9xy) + -5(y + -75) = 0 (7a * 9 + 9xy * 9) + -5(y + -75) = 0 (63a + 81xy) + -5(y + -75) = 0 Reorder the terms: 63a + 81xy + -5(-75 + y) = 0 63a + 81xy + (-75 * -5 + y * -5) = 0 63a + 81xy + (375 + -5y) = 0 Reorder the terms: 375 + 63a + 81xy + -5y = 0 Solving 375 + 63a + 81xy + -5y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-375' to each side of the equation. 375 + 63a + 81xy + -375 + -5y = 0 + -375 Reorder the terms: 375 + -375 + 63a + 81xy + -5y = 0 + -375 Combine like terms: 375 + -375 = 0 0 + 63a + 81xy + -5y = 0 + -375 63a + 81xy + -5y = 0 + -375 Combine like terms: 0 + -375 = -375 63a + 81xy + -5y = -375 Add '-81xy' to each side of the equation. 63a + 81xy + -81xy + -5y = -375 + -81xy Combine like terms: 81xy + -81xy = 0 63a + 0 + -5y = -375 + -81xy 63a + -5y = -375 + -81xy Add '5y' to each side of the equation. 63a + -5y + 5y = -375 + -81xy + 5y Combine like terms: -5y + 5y = 0 63a + 0 = -375 + -81xy + 5y 63a = -375 + -81xy + 5y Divide each side by '63'. a = -5.952380952 + -1.285714286xy + 0.07936507937y Simplifying a = -5.952380952 + -1.285714286xy + 0.07936507937y
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