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