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Simplifying -33b + -2(b + -6a) + -13a + 3c + 5c = 0 Reorder the terms: -33b + -2(-6a + b) + -13a + 3c + 5c = 0 -33b + (-6a * -2 + b * -2) + -13a + 3c + 5c = 0 -33b + (12a + -2b) + -13a + 3c + 5c = 0 Reorder the terms: 12a + -13a + -33b + -2b + 3c + 5c = 0 Combine like terms: 12a + -13a = -1a -1a + -33b + -2b + 3c + 5c = 0 Combine like terms: -33b + -2b = -35b -1a + -35b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -1a + -35b + 8c = 0 Solving -1a + -35b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35b' to each side of the equation. -1a + -35b + 35b + 8c = 0 + 35b Combine like terms: -35b + 35b = 0 -1a + 0 + 8c = 0 + 35b -1a + 8c = 0 + 35b Remove the zero: -1a + 8c = 35b Add '-8c' to each side of the equation. -1a + 8c + -8c = 35b + -8c Combine like terms: 8c + -8c = 0 -1a + 0 = 35b + -8c -1a = 35b + -8c Divide each side by '-1'. a = -35b + 8c Simplifying a = -35b + 8c
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