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Simplifying 10a + 3c + 0.5b = 100 Reorder the terms: 10a + 0.5b + 3c = 100 Solving 10a + 0.5b + 3c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5b' to each side of the equation. 10a + 0.5b + -0.5b + 3c = 100 + -0.5b Combine like terms: 0.5b + -0.5b = 0.0 10a + 0.0 + 3c = 100 + -0.5b 10a + 3c = 100 + -0.5b Add '-3c' to each side of the equation. 10a + 3c + -3c = 100 + -0.5b + -3c Combine like terms: 3c + -3c = 0 10a + 0 = 100 + -0.5b + -3c 10a = 100 + -0.5b + -3c Divide each side by '10'. a = 10 + -0.05b + -0.3c Simplifying a = 10 + -0.05b + -0.3c
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