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Simplifying 1.5(4a + 100b) = c (4a * 1.5 + 100b * 1.5) = c (6a + 150b) = c Solving 6a + 150b = c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-150b' to each side of the equation. 6a + 150b + -150b = -150b + c Combine like terms: 150b + -150b = 0 6a + 0 = -150b + c 6a = -150b + c Divide each side by '6'. a = -25b + 0.1666666667c Simplifying a = -25b + 0.1666666667c
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