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Simplifying 8c + -3(5a + -3c) = 0 8c + (5a * -3 + -3c * -3) = 0 8c + (-15a + 9c) = 0 Reorder the terms: -15a + 8c + 9c = 0 Combine like terms: 8c + 9c = 17c -15a + 17c = 0 Solving -15a + 17c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17c' to each side of the equation. -15a + 17c + -17c = 0 + -17c Combine like terms: 17c + -17c = 0 -15a + 0 = 0 + -17c -15a = 0 + -17c Remove the zero: -15a = -17c Divide each side by '-15'. a = 1.133333333c Simplifying a = 1.133333333c
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