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Simplifying a + 8b + -3c + 4a + -6b + 2 = 0 Reorder the terms: 2 + a + 4a + 8b + -6b + -3c = 0 Combine like terms: a + 4a = 5a 2 + 5a + 8b + -6b + -3c = 0 Combine like terms: 8b + -6b = 2b 2 + 5a + 2b + -3c = 0 Solving 2 + 5a + 2b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 5a + 2b + -2 + -3c = 0 + -2 Reorder the terms: 2 + -2 + 5a + 2b + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a + 2b + -3c = 0 + -2 5a + 2b + -3c = 0 + -2 Combine like terms: 0 + -2 = -2 5a + 2b + -3c = -2 Add '-2b' to each side of the equation. 5a + 2b + -2b + -3c = -2 + -2b Combine like terms: 2b + -2b = 0 5a + 0 + -3c = -2 + -2b 5a + -3c = -2 + -2b Add '3c' to each side of the equation. 5a + -3c + 3c = -2 + -2b + 3c Combine like terms: -3c + 3c = 0 5a + 0 = -2 + -2b + 3c 5a = -2 + -2b + 3c Divide each side by '5'. a = -0.4 + -0.4b + 0.6c Simplifying a = -0.4 + -0.4b + 0.6c
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