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Simplifying 4(2a + -3c) + 3a = 0 (2a * 4 + -3c * 4) + 3a = 0 (8a + -12c) + 3a = 0 Reorder the terms: 8a + 3a + -12c = 0 Combine like terms: 8a + 3a = 11a 11a + -12c = 0 Solving 11a + -12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12c' to each side of the equation. 11a + -12c + 12c = 0 + 12c Combine like terms: -12c + 12c = 0 11a + 0 = 0 + 12c 11a = 0 + 12c Remove the zero: 11a = 12c Divide each side by '11'. a = 1.090909091c Simplifying a = 1.090909091c
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