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Simplifying 3z + 4b + 5a + 6 = 0 Reorder the terms: 6 + 5a + 4b + 3z = 0 Solving 6 + 5a + 4b + 3z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5a + 4b + -6 + 3z = 0 + -6 Reorder the terms: 6 + -6 + 5a + 4b + 3z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5a + 4b + 3z = 0 + -6 5a + 4b + 3z = 0 + -6 Combine like terms: 0 + -6 = -6 5a + 4b + 3z = -6 Add '-4b' to each side of the equation. 5a + 4b + -4b + 3z = -6 + -4b Combine like terms: 4b + -4b = 0 5a + 0 + 3z = -6 + -4b 5a + 3z = -6 + -4b Add '-3z' to each side of the equation. 5a + 3z + -3z = -6 + -4b + -3z Combine like terms: 3z + -3z = 0 5a + 0 = -6 + -4b + -3z 5a = -6 + -4b + -3z Divide each side by '5'. a = -1.2 + -0.8b + -0.6z Simplifying a = -1.2 + -0.8b + -0.6z
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