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Simplifying 10(a + z) + a = 42 (a * 10 + z * 10) + a = 42 (10a + 10z) + a = 42 Reorder the terms: 10a + a + 10z = 42 Combine like terms: 10a + a = 11a 11a + 10z = 42 Solving 11a + 10z = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10z' to each side of the equation. 11a + 10z + -10z = 42 + -10z Combine like terms: 10z + -10z = 0 11a + 0 = 42 + -10z 11a = 42 + -10z Divide each side by '11'. a = 3.818181818 + -0.9090909091z Simplifying a = 3.818181818 + -0.9090909091z
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