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Simplifying 3b + -4c + 2a = 21 Reorder the terms: 2a + 3b + -4c = 21 Solving 2a + 3b + -4c = 21 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. 2a + 3b + -3b + -4c = 21 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + -4c = 21 + -3b 2a + -4c = 21 + -3b Add '4c' to each side of the equation. 2a + -4c + 4c = 21 + -3b + 4c Combine like terms: -4c + 4c = 0 2a + 0 = 21 + -3b + 4c 2a = 21 + -3b + 4c Divide each side by '2'. a = 10.5 + -1.5b + 2c Simplifying a = 10.5 + -1.5b + 2c
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