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Simplifying 3z + -1a + 12 + -2a + z + 2 = 0 Reorder the terms: 12 + 2 + -1a + -2a + 3z + z = 0 Combine like terms: 12 + 2 = 14 14 + -1a + -2a + 3z + z = 0 Combine like terms: -1a + -2a = -3a 14 + -3a + 3z + z = 0 Combine like terms: 3z + z = 4z 14 + -3a + 4z = 0 Solving 14 + -3a + 4z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -3a + -14 + 4z = 0 + -14 Reorder the terms: 14 + -14 + -3a + 4z = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3a + 4z = 0 + -14 -3a + 4z = 0 + -14 Combine like terms: 0 + -14 = -14 -3a + 4z = -14 Add '-4z' to each side of the equation. -3a + 4z + -4z = -14 + -4z Combine like terms: 4z + -4z = 0 -3a + 0 = -14 + -4z -3a = -14 + -4z Divide each side by '-3'. a = 4.666666667 + 1.333333333z Simplifying a = 4.666666667 + 1.333333333z
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