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Simplifying -3b + -2(b + -6a) + -13a + 3c + 5c = 0 Reorder the terms: -3b + -2(-6a + b) + -13a + 3c + 5c = 0 -3b + (-6a * -2 + b * -2) + -13a + 3c + 5c = 0 -3b + (12a + -2b) + -13a + 3c + 5c = 0 Reorder the terms: 12a + -13a + -3b + -2b + 3c + 5c = 0 Combine like terms: 12a + -13a = -1a -1a + -3b + -2b + 3c + 5c = 0 Combine like terms: -3b + -2b = -5b -1a + -5b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -1a + -5b + 8c = 0 Solving -1a + -5b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. -1a + -5b + 5b + 8c = 0 + 5b Combine like terms: -5b + 5b = 0 -1a + 0 + 8c = 0 + 5b -1a + 8c = 0 + 5b Remove the zero: -1a + 8c = 5b Add '-8c' to each side of the equation. -1a + 8c + -8c = 5b + -8c Combine like terms: 8c + -8c = 0 -1a + 0 = 5b + -8c -1a = 5b + -8c Divide each side by '-1'. a = -5b + 8c Simplifying a = -5b + 8c
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