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Simplifying 10a + 3b + 0.5c = 100 Solving 10a + 3b + 0.5c = 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. 10a + 3b + -3b + 0.5c = 100 + -3b Combine like terms: 3b + -3b = 0 10a + 0 + 0.5c = 100 + -3b 10a + 0.5c = 100 + -3b Add '-0.5c' to each side of the equation. 10a + 0.5c + -0.5c = 100 + -3b + -0.5c Combine like terms: 0.5c + -0.5c = 0.0 10a + 0.0 = 100 + -3b + -0.5c 10a = 100 + -3b + -0.5c Divide each side by '10'. a = 10 + -0.3b + -0.05c Simplifying a = 10 + -0.3b + -0.05c
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