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Simplifying 6a + 3b + 0.10c = 100 Solving 6a + 3b + 0.10c = 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. 6a + 3b + -3b + 0.10c = 100 + -3b Combine like terms: 3b + -3b = 0 6a + 0 + 0.10c = 100 + -3b 6a + 0.10c = 100 + -3b Add '-0.10c' to each side of the equation. 6a + 0.10c + -0.10c = 100 + -3b + -0.10c Combine like terms: 0.10c + -0.10c = 0.00 6a + 0.00 = 100 + -3b + -0.10c 6a = 100 + -3b + -0.10c Divide each side by '6'. a = 16.66666667 + -0.5b + -0.01666666667c Simplifying a = 16.66666667 + -0.5b + -0.01666666667c
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