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Simplifying -4x(8a + -23c) = 0 (8a * -4x + -23c * -4x) = 0 (-32ax + 92cx) = 0 Solving -32ax + 92cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-92cx' to each side of the equation. -32ax + 92cx + -92cx = 0 + -92cx Combine like terms: 92cx + -92cx = 0 -32ax + 0 = 0 + -92cx -32ax = 0 + -92cx Remove the zero: -32ax = -92cx Divide each side by '-32x'. a = 2.875c Simplifying a = 2.875c
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