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Simplifying 6a + 3b + 0.1c = 100 Solving 6a + 3b + 0.1c = 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. 6a + 3b + -3b + 0.1c = 100 + -3b Combine like terms: 3b + -3b = 0 6a + 0 + 0.1c = 100 + -3b 6a + 0.1c = 100 + -3b Add '-0.1c' to each side of the equation. 6a + 0.1c + -0.1c = 100 + -3b + -0.1c Combine like terms: 0.1c + -0.1c = 0.0 6a + 0.0 = 100 + -3b + -0.1c 6a = 100 + -3b + -0.1c Divide each side by '6'. a = 16.66666667 + -0.5b + -0.01666666667c Simplifying a = 16.66666667 + -0.5b + -0.01666666667c
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