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Simplifying 5a + a + 4z + -3z = 7 Combine like terms: 5a + a = 6a 6a + 4z + -3z = 7 Combine like terms: 4z + -3z = 1z 6a + 1z = 7 Solving 6a + 1z = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1z' to each side of the equation. 6a + 1z + -1z = 7 + -1z Combine like terms: 1z + -1z = 0 6a + 0 = 7 + -1z 6a = 7 + -1z Divide each side by '6'. a = 1.166666667 + -0.1666666667z Simplifying a = 1.166666667 + -0.1666666667z
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