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Simplifying 5a + -11b + -5c + -8a + 11b + -5c + a = 0 Reorder the terms: 5a + -8a + a + -11b + 11b + -5c + -5c = 0 Combine like terms: 5a + -8a = -3a -3a + a + -11b + 11b + -5c + -5c = 0 Combine like terms: -3a + a = -2a -2a + -11b + 11b + -5c + -5c = 0 Combine like terms: -11b + 11b = 0 -2a + 0 + -5c + -5c = 0 -2a + -5c + -5c = 0 Combine like terms: -5c + -5c = -10c -2a + -10c = 0 Solving -2a + -10c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10c' to each side of the equation. -2a + -10c + 10c = 0 + 10c Combine like terms: -10c + 10c = 0 -2a + 0 = 0 + 10c -2a = 0 + 10c Remove the zero: -2a = 10c Divide each side by '-2'. a = -5c Simplifying a = -5c
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