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Simplifying -8(a + -2b + -9c) = 0 (a * -8 + -2b * -8 + -9c * -8) = 0 (-8a + 16b + 72c) = 0 Solving -8a + 16b + 72c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. -8a + 16b + -16b + 72c = 0 + -16b Combine like terms: 16b + -16b = 0 -8a + 0 + 72c = 0 + -16b -8a + 72c = 0 + -16b Remove the zero: -8a + 72c = -16b Add '-72c' to each side of the equation. -8a + 72c + -72c = -16b + -72c Combine like terms: 72c + -72c = 0 -8a + 0 = -16b + -72c -8a = -16b + -72c Divide each side by '-8'. a = 2b + 9c Simplifying a = 2b + 9c
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