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Simplifying 2(a + -4b + -6c) = n (a * 2 + -4b * 2 + -6c * 2) = n (2a + -8b + -12c) = n Solving 2a + -8b + -12c = n 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. 2a + -8b + 8b + -12c = 8b + n Combine like terms: -8b + 8b = 0 2a + 0 + -12c = 8b + n 2a + -12c = 8b + n Add '12c' to each side of the equation. 2a + -12c + 12c = 8b + 12c + n Combine like terms: -12c + 12c = 0 2a + 0 = 8b + 12c + n 2a = 8b + 12c + n Divide each side by '2'. a = 4b + 6c + 0.5n Simplifying a = 4b + 6c + 0.5n
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