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Simplifying x(a + 4) + -9 = y Reorder the terms: x(4 + a) + -9 = y (4 * x + a * x) + -9 = y Reorder the terms: (ax + 4x) + -9 = y (ax + 4x) + -9 = y Reorder the terms: -9 + ax + 4x = y Solving -9 + ax + 4x = y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + ax + 9 + 4x = 9 + y Reorder the terms: -9 + 9 + ax + 4x = 9 + y Combine like terms: -9 + 9 = 0 0 + ax + 4x = 9 + y ax + 4x = 9 + y Add '-4x' to each side of the equation. ax + 4x + -4x = 9 + -4x + y Combine like terms: 4x + -4x = 0 ax + 0 = 9 + -4x + y ax = 9 + -4x + y Divide each side by 'x'. a = 9x-1 + -4 + x-1y Simplifying a = 9x-1 + -4 + x-1y Reorder the terms: a = -4 + 9x-1 + x-1y
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