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Simplifying 2a + 3b + 10c = 100 Solving 2a + 3b + 10c = 100 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 + 10c = 100 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 10c = 100 + -3b 2a + 10c = 100 + -3b Add '-10c' to each side of the equation. 2a + 10c + -10c = 100 + -3b + -10c Combine like terms: 10c + -10c = 0 2a + 0 = 100 + -3b + -10c 2a = 100 + -3b + -10c Divide each side by '2'. a = 50 + -1.5b + -5c Simplifying a = 50 + -1.5b + -5c
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