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Simplifying 4a + -2b + 3c = 21 Solving 4a + -2b + 3c = 21 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 4a + -2b + 2b + 3c = 21 + 2b Combine like terms: -2b + 2b = 0 4a + 0 + 3c = 21 + 2b 4a + 3c = 21 + 2b Add '-3c' to each side of the equation. 4a + 3c + -3c = 21 + 2b + -3c Combine like terms: 3c + -3c = 0 4a + 0 = 21 + 2b + -3c 4a = 21 + 2b + -3c Divide each side by '4'. a = 5.25 + 0.5b + -0.75c Simplifying a = 5.25 + 0.5b + -0.75c
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