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Simplifying 0.25a + 3b + 10c = 100 Solving 0.25a + 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. 0.25a + 3b + -3b + 10c = 100 + -3b Combine like terms: 3b + -3b = 0 0.25a + 0 + 10c = 100 + -3b 0.25a + 10c = 100 + -3b Add '-10c' to each side of the equation. 0.25a + 10c + -10c = 100 + -3b + -10c Combine like terms: 10c + -10c = 0 0.25a + 0 = 100 + -3b + -10c 0.25a = 100 + -3b + -10c Divide each side by '0.25'. a = 400 + -12b + -40c Simplifying a = 400 + -12b + -40c
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