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Simplifying 11(-4a + 3b + -4c) + -8(3a + -7b + 3c) = 0 (-4a * 11 + 3b * 11 + -4c * 11) + -8(3a + -7b + 3c) = 0 (-44a + 33b + -44c) + -8(3a + -7b + 3c) = 0 -44a + 33b + -44c + (3a * -8 + -7b * -8 + 3c * -8) = 0 -44a + 33b + -44c + (-24a + 56b + -24c) = 0 Reorder the terms: -44a + -24a + 33b + 56b + -44c + -24c = 0 Combine like terms: -44a + -24a = -68a -68a + 33b + 56b + -44c + -24c = 0 Combine like terms: 33b + 56b = 89b -68a + 89b + -44c + -24c = 0 Combine like terms: -44c + -24c = -68c -68a + 89b + -68c = 0 Solving -68a + 89b + -68c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-89b' to each side of the equation. -68a + 89b + -89b + -68c = 0 + -89b Combine like terms: 89b + -89b = 0 -68a + 0 + -68c = 0 + -89b -68a + -68c = 0 + -89b Remove the zero: -68a + -68c = -89b Add '68c' to each side of the equation. -68a + -68c + 68c = -89b + 68c Combine like terms: -68c + 68c = 0 -68a + 0 = -89b + 68c -68a = -89b + 68c Divide each side by '-68'. a = 1.308823529b + -1c Simplifying a = 1.308823529b + -1c
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