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Simplifying -8(a + -5b + -8c) = 0 (a * -8 + -5b * -8 + -8c * -8) = 0 (-8a + 40b + 64c) = 0 Solving -8a + 40b + 64c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40b' to each side of the equation. -8a + 40b + -40b + 64c = 0 + -40b Combine like terms: 40b + -40b = 0 -8a + 0 + 64c = 0 + -40b -8a + 64c = 0 + -40b Remove the zero: -8a + 64c = -40b Add '-64c' to each side of the equation. -8a + 64c + -64c = -40b + -64c Combine like terms: 64c + -64c = 0 -8a + 0 = -40b + -64c -8a = -40b + -64c Divide each side by '-8'. a = 5b + 8c Simplifying a = 5b + 8c
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