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Simplifying 4a + -5b + c = -9 Solving 4a + -5b + c = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 4a + -5b + 5b + c = -9 + 5b Combine like terms: -5b + 5b = 0 4a + 0 + c = -9 + 5b 4a + c = -9 + 5b Add '-1c' to each side of the equation. 4a + c + -1c = -9 + 5b + -1c Combine like terms: c + -1c = 0 4a + 0 = -9 + 5b + -1c 4a = -9 + 5b + -1c Divide each side by '4'. a = -2.25 + 1.25b + -0.25c Simplifying a = -2.25 + 1.25b + -0.25c
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