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Simplifying 4b + 5c + -6a = 13 Reorder the terms: -6a + 4b + 5c = 13 Solving -6a + 4b + 5c = 13 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -6a + 4b + -4b + 5c = 13 + -4b Combine like terms: 4b + -4b = 0 -6a + 0 + 5c = 13 + -4b -6a + 5c = 13 + -4b Add '-5c' to each side of the equation. -6a + 5c + -5c = 13 + -4b + -5c Combine like terms: 5c + -5c = 0 -6a + 0 = 13 + -4b + -5c -6a = 13 + -4b + -5c Divide each side by '-6'. a = -2.166666667 + 0.6666666667b + 0.8333333333c Simplifying a = -2.166666667 + 0.6666666667b + 0.8333333333c
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