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Simplifying -9(6a + -5b + 8c) = 0 (6a * -9 + -5b * -9 + 8c * -9) = 0 (-54a + 45b + -72c) = 0 Solving -54a + 45b + -72c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45b' to each side of the equation. -54a + 45b + -45b + -72c = 0 + -45b Combine like terms: 45b + -45b = 0 -54a + 0 + -72c = 0 + -45b -54a + -72c = 0 + -45b Remove the zero: -54a + -72c = -45b Add '72c' to each side of the equation. -54a + -72c + 72c = -45b + 72c Combine like terms: -72c + 72c = 0 -54a + 0 = -45b + 72c -54a = -45b + 72c Divide each side by '-54'. a = 0.8333333333b + -1.333333333c Simplifying a = 0.8333333333b + -1.333333333c
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