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Simplifying -2a + 3b + 6c + 5a + -1c = 0 Reorder the terms: -2a + 5a + 3b + 6c + -1c = 0 Combine like terms: -2a + 5a = 3a 3a + 3b + 6c + -1c = 0 Combine like terms: 6c + -1c = 5c 3a + 3b + 5c = 0 Solving 3a + 3b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3a + 3b + -3b + 5c = 0 + -3b Combine like terms: 3b + -3b = 0 3a + 0 + 5c = 0 + -3b 3a + 5c = 0 + -3b Remove the zero: 3a + 5c = -3b Add '-5c' to each side of the equation. 3a + 5c + -5c = -3b + -5c Combine like terms: 5c + -5c = 0 3a + 0 = -3b + -5c 3a = -3b + -5c Divide each side by '3'. a = -1b + -1.666666667c Simplifying a = -1b + -1.666666667c
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