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Simplifying 13a + 15b + 4c + 4c + -3b + -3a = 0 Reorder the terms: 13a + -3a + 15b + -3b + 4c + 4c = 0 Combine like terms: 13a + -3a = 10a 10a + 15b + -3b + 4c + 4c = 0 Combine like terms: 15b + -3b = 12b 10a + 12b + 4c + 4c = 0 Combine like terms: 4c + 4c = 8c 10a + 12b + 8c = 0 Solving 10a + 12b + 8c = 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. 10a + 12b + -12b + 8c = 0 + -12b Combine like terms: 12b + -12b = 0 10a + 0 + 8c = 0 + -12b 10a + 8c = 0 + -12b Remove the zero: 10a + 8c = -12b Add '-8c' to each side of the equation. 10a + 8c + -8c = -12b + -8c Combine like terms: 8c + -8c = 0 10a + 0 = -12b + -8c 10a = -12b + -8c Divide each side by '10'. a = -1.2b + -0.8c Simplifying a = -1.2b + -0.8c
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