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Simplifying 2a + 3b + 4c = 45 Solving 2a + 3b + 4c = 45 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 = 45 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 4c = 45 + -3b 2a + 4c = 45 + -3b Add '-4c' to each side of the equation. 2a + 4c + -4c = 45 + -3b + -4c Combine like terms: 4c + -4c = 0 2a + 0 = 45 + -3b + -4c 2a = 45 + -3b + -4c Divide each side by '2'. a = 22.5 + -1.5b + -2c Simplifying a = 22.5 + -1.5b + -2c
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