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Simplifying 3a(6b + 5c) + -5c(2a + -2b) = 0 (6b * 3a + 5c * 3a) + -5c(2a + -2b) = 0 (18ab + 15ac) + -5c(2a + -2b) = 0 18ab + 15ac + (2a * -5c + -2b * -5c) = 0 18ab + 15ac + (-10ac + 10bc) = 0 Combine like terms: 15ac + -10ac = 5ac 18ab + 5ac + 10bc = 0 Solving 18ab + 5ac + 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. 18ab + 5ac + 10bc + -10bc = 0 + -10bc Combine like terms: 10bc + -10bc = 0 18ab + 5ac + 0 = 0 + -10bc 18ab + 5ac = 0 + -10bc Remove the zero: 18ab + 5ac = -10bc Combine like terms: -10bc + 10bc = 0 18ab + 5ac + 10bc = 0 The solution to this equation could not be determined.
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