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Simplifying 5(3a + -1b) + -2c(3a + -1b) = 0 (3a * 5 + -1b * 5) + -2c(3a + -1b) = 0 (15a + -5b) + -2c(3a + -1b) = 0 15a + -5b + (3a * -2c + -1b * -2c) = 0 15a + -5b + (-6ac + 2bc) = 0 Reorder the terms: 15a + -6ac + -5b + 2bc = 0 Solving 15a + -6ac + -5b + 2bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 15a + -6ac + -5b + 5b + 2bc = 0 + 5b Combine like terms: -5b + 5b = 0 15a + -6ac + 0 + 2bc = 0 + 5b 15a + -6ac + 2bc = 0 + 5b Remove the zero: 15a + -6ac + 2bc = 5b Add '-2bc' to each side of the equation. 15a + -6ac + 2bc + -2bc = 5b + -2bc Combine like terms: 2bc + -2bc = 0 15a + -6ac + 0 = 5b + -2bc 15a + -6ac = 5b + -2bc Reorder the terms: 15a + -6ac + -5b + 2bc = 5b + -5b + -2bc + 2bc Combine like terms: 5b + -5b = 0 15a + -6ac + -5b + 2bc = 0 + -2bc + 2bc 15a + -6ac + -5b + 2bc = -2bc + 2bc Combine like terms: -2bc + 2bc = 0 15a + -6ac + -5b + 2bc = 0 The solution to this equation could not be determined.
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