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Simplifying 100 + -50z + 50a = 0 Reorder the terms: 100 + 50a + -50z = 0 Solving 100 + 50a + -50z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + 50a + -100 + -50z = 0 + -100 Reorder the terms: 100 + -100 + 50a + -50z = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 50a + -50z = 0 + -100 50a + -50z = 0 + -100 Combine like terms: 0 + -100 = -100 50a + -50z = -100 Add '50z' to each side of the equation. 50a + -50z + 50z = -100 + 50z Combine like terms: -50z + 50z = 0 50a + 0 = -100 + 50z 50a = -100 + 50z Divide each side by '50'. a = -2 + z Simplifying a = -2 + z
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