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Simplifying 0.4times(2a + -0.7b) = 0 (2a * 0.4eimst + -0.7b * 0.4eimst) = 0 (0.8aeimst + -0.28beimst) = 0 Solving 0.8aeimst + -0.28beimst = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.28beimst' to each side of the equation. 0.8aeimst + -0.28beimst + 0.28beimst = 0 + 0.28beimst Combine like terms: -0.28beimst + 0.28beimst = 0.00 0.8aeimst + 0.00 = 0 + 0.28beimst 0.8aeimst = 0 + 0.28beimst Remove the zero: 0.8aeimst = 0.28beimst Divide each side by '0.8eimst'. a = 0.35b Simplifying a = 0.35b
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