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Simplifying 17a + 12b + 4c + 6c + -6b + -2a = 0 Reorder the terms: 17a + -2a + 12b + -6b + 4c + 6c = 0 Combine like terms: 17a + -2a = 15a 15a + 12b + -6b + 4c + 6c = 0 Combine like terms: 12b + -6b = 6b 15a + 6b + 4c + 6c = 0 Combine like terms: 4c + 6c = 10c 15a + 6b + 10c = 0 Solving 15a + 6b + 10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 15a + 6b + -6b + 10c = 0 + -6b Combine like terms: 6b + -6b = 0 15a + 0 + 10c = 0 + -6b 15a + 10c = 0 + -6b Remove the zero: 15a + 10c = -6b Add '-10c' to each side of the equation. 15a + 10c + -10c = -6b + -10c Combine like terms: 10c + -10c = 0 15a + 0 = -6b + -10c 15a = -6b + -10c Divide each side by '15'. a = -0.4b + -0.6666666667c Simplifying a = -0.4b + -0.6666666667c
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