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Simplifying 5a + -2c + 9c + -12a = 0 Reorder the terms: 5a + -12a + -2c + 9c = 0 Combine like terms: 5a + -12a = -7a -7a + -2c + 9c = 0 Combine like terms: -2c + 9c = 7c -7a + 7c = 0 Solving -7a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7c' to each side of the equation. -7a + 7c + -7c = 0 + -7c Combine like terms: 7c + -7c = 0 -7a + 0 = 0 + -7c -7a = 0 + -7c Remove the zero: -7a = -7c Divide each side by '-7'. a = c Simplifying a = c
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