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Simplifying 2(a + -5b + -6c) = 0 (a * 2 + -5b * 2 + -6c * 2) = 0 (2a + -10b + -12c) = 0 Solving 2a + -10b + -12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 2a + -10b + 10b + -12c = 0 + 10b Combine like terms: -10b + 10b = 0 2a + 0 + -12c = 0 + 10b 2a + -12c = 0 + 10b Remove the zero: 2a + -12c = 10b Add '12c' to each side of the equation. 2a + -12c + 12c = 10b + 12c Combine like terms: -12c + 12c = 0 2a + 0 = 10b + 12c 2a = 10b + 12c Divide each side by '2'. a = 5b + 6c Simplifying a = 5b + 6c
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