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Simplifying 4a + -3b + -5c = 1 Solving 4a + -3b + -5c = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 4a + -3b + 3b + -5c = 1 + 3b Combine like terms: -3b + 3b = 0 4a + 0 + -5c = 1 + 3b 4a + -5c = 1 + 3b Add '5c' to each side of the equation. 4a + -5c + 5c = 1 + 3b + 5c Combine like terms: -5c + 5c = 0 4a + 0 = 1 + 3b + 5c 4a = 1 + 3b + 5c Divide each side by '4'. a = 0.25 + 0.75b + 1.25c Simplifying a = 0.25 + 0.75b + 1.25c
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