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Simplifying 0.25(6a + 1.5b) = 0 (6a * 0.25 + 1.5b * 0.25) = 0 (1.5a + 0.375b) = 0 Solving 1.5a + 0.375b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.375b' to each side of the equation. 1.5a + 0.375b + -0.375b = 0 + -0.375b Combine like terms: 0.375b + -0.375b = 0.000 1.5a + 0.000 = 0 + -0.375b 1.5a = 0 + -0.375b Remove the zero: 1.5a = -0.375b Divide each side by '1.5'. a = -0.25b Simplifying a = -0.25b
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