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Simplifying 15a + 12b + 2c + 4c + -5b + -2a = 0 Reorder the terms: 15a + -2a + 12b + -5b + 2c + 4c = 0 Combine like terms: 15a + -2a = 13a 13a + 12b + -5b + 2c + 4c = 0 Combine like terms: 12b + -5b = 7b 13a + 7b + 2c + 4c = 0 Combine like terms: 2c + 4c = 6c 13a + 7b + 6c = 0 Solving 13a + 7b + 6c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 13a + 7b + -7b + 6c = 0 + -7b Combine like terms: 7b + -7b = 0 13a + 0 + 6c = 0 + -7b 13a + 6c = 0 + -7b Remove the zero: 13a + 6c = -7b Add '-6c' to each side of the equation. 13a + 6c + -6c = -7b + -6c Combine like terms: 6c + -6c = 0 13a + 0 = -7b + -6c 13a = -7b + -6c Divide each side by '13'. a = -0.5384615385b + -0.4615384615c Simplifying a = -0.5384615385b + -0.4615384615c
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