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Simplifying 5z + -6 + a + 2 + z + 8 = 0 Reorder the terms: -6 + 2 + 8 + a + 5z + z = 0 Combine like terms: -6 + 2 = -4 -4 + 8 + a + 5z + z = 0 Combine like terms: -4 + 8 = 4 4 + a + 5z + z = 0 Combine like terms: 5z + z = 6z 4 + a + 6z = 0 Solving 4 + a + 6z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + a + -4 + 6z = 0 + -4 Reorder the terms: 4 + -4 + a + 6z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a + 6z = 0 + -4 a + 6z = 0 + -4 Combine like terms: 0 + -4 = -4 a + 6z = -4 Add '-6z' to each side of the equation. a + 6z + -6z = -4 + -6z Combine like terms: 6z + -6z = 0 a + 0 = -4 + -6z a = -4 + -6z Simplifying a = -4 + -6z
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