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Simplifying 6a + 4b + 1.5c = 100 Solving 6a + 4b + 1.5c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. 6a + 4b + -4b + 1.5c = 100 + -4b Combine like terms: 4b + -4b = 0 6a + 0 + 1.5c = 100 + -4b 6a + 1.5c = 100 + -4b Add '-1.5c' to each side of the equation. 6a + 1.5c + -1.5c = 100 + -4b + -1.5c Combine like terms: 1.5c + -1.5c = 0.0 6a + 0.0 = 100 + -4b + -1.5c 6a = 100 + -4b + -1.5c Divide each side by '6'. a = 16.66666667 + -0.6666666667b + -0.25c Simplifying a = 16.66666667 + -0.6666666667b + -0.25c
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