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Simplifying 3a + 7b + -9c + -5a + -7b + 6c = 0 Reorder the terms: 3a + -5a + 7b + -7b + -9c + 6c = 0 Combine like terms: 3a + -5a = -2a -2a + 7b + -7b + -9c + 6c = 0 Combine like terms: 7b + -7b = 0 -2a + 0 + -9c + 6c = 0 -2a + -9c + 6c = 0 Combine like terms: -9c + 6c = -3c -2a + -3c = 0 Solving -2a + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3c' to each side of the equation. -2a + -3c + 3c = 0 + 3c Combine like terms: -3c + 3c = 0 -2a + 0 = 0 + 3c -2a = 0 + 3c Remove the zero: -2a = 3c Divide each side by '-2'. a = -1.5c Simplifying a = -1.5c
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