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Simplifying -5a + 4b + 8a + -7b + 6c = 0 Reorder the terms: -5a + 8a + 4b + -7b + 6c = 0 Combine like terms: -5a + 8a = 3a 3a + 4b + -7b + 6c = 0 Combine like terms: 4b + -7b = -3b 3a + -3b + 6c = 0 Solving 3a + -3b + 6c = 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 + 6c = 0 + 3b Combine like terms: -3b + 3b = 0 3a + 0 + 6c = 0 + 3b 3a + 6c = 0 + 3b Remove the zero: 3a + 6c = 3b Add '-6c' to each side of the equation. 3a + 6c + -6c = 3b + -6c Combine like terms: 6c + -6c = 0 3a + 0 = 3b + -6c 3a = 3b + -6c Divide each side by '3'. a = b + -2c Simplifying a = b + -2c
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