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Simplifying 4a + a + 3z + -1z = 0 Combine like terms: 4a + a = 5a 5a + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z 5a + 2z = 0 Solving 5a + 2z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2z' to each side of the equation. 5a + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 5a + 0 = 0 + -2z 5a = 0 + -2z Remove the zero: 5a = -2z Divide each side by '5'. a = -0.4z Simplifying a = -0.4z
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