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Simplifying (7a + 3 + -4z) + (-5 + 3a + -2z) = 0 Reorder the terms: (3 + 7a + -4z) + (-5 + 3a + -2z) = 0 Remove parenthesis around (3 + 7a + -4z) 3 + 7a + -4z + (-5 + 3a + -2z) = 0 Remove parenthesis around (-5 + 3a + -2z) 3 + 7a + -4z + -5 + 3a + -2z = 0 Reorder the terms: 3 + -5 + 7a + 3a + -4z + -2z = 0 Combine like terms: 3 + -5 = -2 -2 + 7a + 3a + -4z + -2z = 0 Combine like terms: 7a + 3a = 10a -2 + 10a + -4z + -2z = 0 Combine like terms: -4z + -2z = -6z -2 + 10a + -6z = 0 Solving -2 + 10a + -6z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 10a + 2 + -6z = 0 + 2 Reorder the terms: -2 + 2 + 10a + -6z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 10a + -6z = 0 + 2 10a + -6z = 0 + 2 Combine like terms: 0 + 2 = 2 10a + -6z = 2 Add '6z' to each side of the equation. 10a + -6z + 6z = 2 + 6z Combine like terms: -6z + 6z = 0 10a + 0 = 2 + 6z 10a = 2 + 6z Divide each side by '10'. a = 0.2 + 0.6z Simplifying a = 0.2 + 0.6z
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