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Simplifying 0.40(a + b) = 0 (a * 0.40 + b * 0.40) = 0 (0.40a + 0.40b) = 0 Solving 0.40a + 0.40b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.40b' to each side of the equation. 0.40a + 0.40b + -0.40b = 0 + -0.40b Combine like terms: 0.40b + -0.40b = 0.00 0.40a + 0.00 = 0 + -0.40b 0.40a = 0 + -0.40b Remove the zero: 0.40a = -0.40b Divide each side by '0.40'. a = -1b Simplifying a = -1b
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