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Simplifying -9z + 10a + 8 + 6a + -3z + 3 = 0 Reorder the terms: 8 + 3 + 10a + 6a + -9z + -3z = 0 Combine like terms: 8 + 3 = 11 11 + 10a + 6a + -9z + -3z = 0 Combine like terms: 10a + 6a = 16a 11 + 16a + -9z + -3z = 0 Combine like terms: -9z + -3z = -12z 11 + 16a + -12z = 0 Solving 11 + 16a + -12z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 16a + -11 + -12z = 0 + -11 Reorder the terms: 11 + -11 + 16a + -12z = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 16a + -12z = 0 + -11 16a + -12z = 0 + -11 Combine like terms: 0 + -11 = -11 16a + -12z = -11 Add '12z' to each side of the equation. 16a + -12z + 12z = -11 + 12z Combine like terms: -12z + 12z = 0 16a + 0 = -11 + 12z 16a = -11 + 12z Divide each side by '16'. a = -0.6875 + 0.75z Simplifying a = -0.6875 + 0.75z
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