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Simplifying 9a + -1c + 7b + -3c + -14a = 0 Reorder the terms: 9a + -14a + 7b + -1c + -3c = 0 Combine like terms: 9a + -14a = -5a -5a + 7b + -1c + -3c = 0 Combine like terms: -1c + -3c = -4c -5a + 7b + -4c = 0 Solving -5a + 7b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -5a + 7b + -7b + -4c = 0 + -7b Combine like terms: 7b + -7b = 0 -5a + 0 + -4c = 0 + -7b -5a + -4c = 0 + -7b Remove the zero: -5a + -4c = -7b Add '4c' to each side of the equation. -5a + -4c + 4c = -7b + 4c Combine like terms: -4c + 4c = 0 -5a + 0 = -7b + 4c -5a = -7b + 4c Divide each side by '-5'. a = 1.4b + -0.8c Simplifying a = 1.4b + -0.8c
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