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Simplifying 12(-4a + 2b + -1c) = 0 (-4a * 12 + 2b * 12 + -1c * 12) = 0 (-48a + 24b + -12c) = 0 Solving -48a + 24b + -12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24b' to each side of the equation. -48a + 24b + -24b + -12c = 0 + -24b Combine like terms: 24b + -24b = 0 -48a + 0 + -12c = 0 + -24b -48a + -12c = 0 + -24b Remove the zero: -48a + -12c = -24b Add '12c' to each side of the equation. -48a + -12c + 12c = -24b + 12c Combine like terms: -12c + 12c = 0 -48a + 0 = -24b + 12c -48a = -24b + 12c Divide each side by '-48'. a = 0.5b + -0.25c Simplifying a = 0.5b + -0.25c
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