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Simplifying 15a + 19b + 6c + 6c + -2a + -2b = 0 Reorder the terms: 15a + -2a + 19b + -2b + 6c + 6c = 0 Combine like terms: 15a + -2a = 13a 13a + 19b + -2b + 6c + 6c = 0 Combine like terms: 19b + -2b = 17b 13a + 17b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 13a + 17b + 12c = 0 Solving 13a + 17b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 13a + 17b + -17b + 12c = 0 + -17b Combine like terms: 17b + -17b = 0 13a + 0 + 12c = 0 + -17b 13a + 12c = 0 + -17b Remove the zero: 13a + 12c = -17b Add '-12c' to each side of the equation. 13a + 12c + -12c = -17b + -12c Combine like terms: 12c + -12c = 0 13a + 0 = -17b + -12c 13a = -17b + -12c Divide each side by '13'. a = -1.307692308b + -0.9230769231c Simplifying a = -1.307692308b + -0.9230769231c
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