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Simplifying 2a + -4(a + 9b + -3c) = 0 2a + (a * -4 + 9b * -4 + -3c * -4) = 0 2a + (-4a + -36b + 12c) = 0 Combine like terms: 2a + -4a = -2a -2a + -36b + 12c = 0 Solving -2a + -36b + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36b' to each side of the equation. -2a + -36b + 36b + 12c = 0 + 36b Combine like terms: -36b + 36b = 0 -2a + 0 + 12c = 0 + 36b -2a + 12c = 0 + 36b Remove the zero: -2a + 12c = 36b Add '-12c' to each side of the equation. -2a + 12c + -12c = 36b + -12c Combine like terms: 12c + -12c = 0 -2a + 0 = 36b + -12c -2a = 36b + -12c Divide each side by '-2'. a = -18b + 6c Simplifying a = -18b + 6c
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