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Simplifying 4z + 9a = 7a + -5x Reorder the terms: 9a + 4z = 7a + -5x Solving 9a + 4z = 7a + -5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 9a + -7a + 4z = 7a + -7a + -5x Combine like terms: 9a + -7a = 2a 2a + 4z = 7a + -7a + -5x Combine like terms: 7a + -7a = 0 2a + 4z = 0 + -5x 2a + 4z = -5x Add '-4z' to each side of the equation. 2a + 4z + -4z = -5x + -4z Combine like terms: 4z + -4z = 0 2a + 0 = -5x + -4z 2a = -5x + -4z Divide each side by '2'. a = -2.5x + -2z Simplifying a = -2.5x + -2z
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