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Simplifying 4a + 7f = 2c + -2a + 12z Reorder the terms: 4a + 7f = -2a + 2c + 12z Solving 4a + 7f = -2a + 2c + 12z Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 4a + 2a + 7f = -2a + 2c + 2a + 12z Combine like terms: 4a + 2a = 6a 6a + 7f = -2a + 2c + 2a + 12z Reorder the terms: 6a + 7f = -2a + 2a + 2c + 12z Combine like terms: -2a + 2a = 0 6a + 7f = 0 + 2c + 12z 6a + 7f = 2c + 12z Add '-7f' to each side of the equation. 6a + 7f + -7f = 2c + -7f + 12z Combine like terms: 7f + -7f = 0 6a + 0 = 2c + -7f + 12z 6a = 2c + -7f + 12z Divide each side by '6'. a = 0.3333333333c + -1.166666667f + 2z Simplifying a = 0.3333333333c + -1.166666667f + 2z
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