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Simplifying 5a + 5c + -12a + -12c = 0 Reorder the terms: 5a + -12a + 5c + -12c = 0 Combine like terms: 5a + -12a = -7a -7a + 5c + -12c = 0 Combine like terms: 5c + -12c = -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 = -1c Simplifying a = -1c
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