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Simplifying -3b + 2a + 3c + -5b + -3a = 0 Reorder the terms: 2a + -3a + -3b + -5b + 3c = 0 Combine like terms: 2a + -3a = -1a -1a + -3b + -5b + 3c = 0 Combine like terms: -3b + -5b = -8b -1a + -8b + 3c = 0 Solving -1a + -8b + 3c = 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. -1a + -8b + 8b + 3c = 0 + 8b Combine like terms: -8b + 8b = 0 -1a + 0 + 3c = 0 + 8b -1a + 3c = 0 + 8b Remove the zero: -1a + 3c = 8b Add '-3c' to each side of the equation. -1a + 3c + -3c = 8b + -3c Combine like terms: 3c + -3c = 0 -1a + 0 = 8b + -3c -1a = 8b + -3c Divide each side by '-1'. a = -8b + 3c Simplifying a = -8b + 3c
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