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Simplifying 3a + 6b + -7a + -3b + 9c = 0 Reorder the terms: 3a + -7a + 6b + -3b + 9c = 0 Combine like terms: 3a + -7a = -4a -4a + 6b + -3b + 9c = 0 Combine like terms: 6b + -3b = 3b -4a + 3b + 9c = 0 Solving -4a + 3b + 9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -4a + 3b + -3b + 9c = 0 + -3b Combine like terms: 3b + -3b = 0 -4a + 0 + 9c = 0 + -3b -4a + 9c = 0 + -3b Remove the zero: -4a + 9c = -3b Add '-9c' to each side of the equation. -4a + 9c + -9c = -3b + -9c Combine like terms: 9c + -9c = 0 -4a + 0 = -3b + -9c -4a = -3b + -9c Divide each side by '-4'. a = 0.75b + 2.25c Simplifying a = 0.75b + 2.25c
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