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Simplifying 19a + 15b + 6c + 6c + -3b + -5a = 0 Reorder the terms: 19a + -5a + 15b + -3b + 6c + 6c = 0 Combine like terms: 19a + -5a = 14a 14a + 15b + -3b + 6c + 6c = 0 Combine like terms: 15b + -3b = 12b 14a + 12b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 14a + 12b + 12c = 0 Solving 14a + 12b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12b' to each side of the equation. 14a + 12b + -12b + 12c = 0 + -12b Combine like terms: 12b + -12b = 0 14a + 0 + 12c = 0 + -12b 14a + 12c = 0 + -12b Remove the zero: 14a + 12c = -12b Add '-12c' to each side of the equation. 14a + 12c + -12c = -12b + -12c Combine like terms: 12c + -12c = 0 14a + 0 = -12b + -12c 14a = -12b + -12c Divide each side by '14'. a = -0.8571428571b + -0.8571428571c Simplifying a = -0.8571428571b + -0.8571428571c
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