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Simplifying 13a + 12b + 6c + 6c + -4b + -5a = 0 Reorder the terms: 13a + -5a + 12b + -4b + 6c + 6c = 0 Combine like terms: 13a + -5a = 8a 8a + 12b + -4b + 6c + 6c = 0 Combine like terms: 12b + -4b = 8b 8a + 8b + 6c + 6c = 0 Combine like terms: 6c + 6c = 12c 8a + 8b + 12c = 0 Solving 8a + 8b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 8a + 8b + -8b + 12c = 0 + -8b Combine like terms: 8b + -8b = 0 8a + 0 + 12c = 0 + -8b 8a + 12c = 0 + -8b Remove the zero: 8a + 12c = -8b Add '-12c' to each side of the equation. 8a + 12c + -12c = -8b + -12c Combine like terms: 12c + -12c = 0 8a + 0 = -8b + -12c 8a = -8b + -12c Divide each side by '8'. a = -1b + -1.5c Simplifying a = -1b + -1.5c
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