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Simplifying 5b(3a + -2c) = 0 (3a * 5b + -2c * 5b) = 0 (15ab + -10bc) = 0 Solving 15ab + -10bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10bc' to each side of the equation. 15ab + -10bc + 10bc = 0 + 10bc Combine like terms: -10bc + 10bc = 0 15ab + 0 = 0 + 10bc 15ab = 0 + 10bc Remove the zero: 15ab = 10bc Divide each side by '15b'. a = 0.6666666667c Simplifying a = 0.6666666667c
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