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Simplifying 4z2 + z2 + 6a = 0 Reorder the terms: 6a + 4z2 + z2 = 0 Combine like terms: 4z2 + z2 = 5z2 6a + 5z2 = 0 Solving 6a + 5z2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5z2' to each side of the equation. 6a + 5z2 + -5z2 = 0 + -5z2 Combine like terms: 5z2 + -5z2 = 0 6a + 0 = 0 + -5z2 6a = 0 + -5z2 Remove the zero: 6a = -5z2 Divide each side by '6'. a = -0.8333333333z2 Simplifying a = -0.8333333333z2
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