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Simplifying 5a + b + 0.1c = 100 Solving 5a + b + 0.1c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 5a + b + -1b + 0.1c = 100 + -1b Combine like terms: b + -1b = 0 5a + 0 + 0.1c = 100 + -1b 5a + 0.1c = 100 + -1b Add '-0.1c' to each side of the equation. 5a + 0.1c + -0.1c = 100 + -1b + -0.1c Combine like terms: 0.1c + -0.1c = 0.0 5a + 0.0 = 100 + -1b + -0.1c 5a = 100 + -1b + -0.1c Divide each side by '5'. a = 20 + -0.2b + -0.02c Simplifying a = 20 + -0.2b + -0.02c
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