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Simplifying (0.4)(2a) + -1(0.4)(0.3b) = 0 Remove parenthesis around (2a) 0.4 * 2a + -1(0.4)(0.3b) = 0 Multiply 0.4 * 2 0.8a + -1(0.4)(0.3b) = 0 Remove parenthesis around (0.3b) 0.8a + -1 * 0.4 * 0.3b = 0 Multiply -1 * 0.4 0.8a + -0.4 * 0.3b = 0 Multiply -0.4 * 0.3 0.8a + -0.12b = 0 Solving 0.8a + -0.12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.12b' to each side of the equation. 0.8a + -0.12b + 0.12b = 0 + 0.12b Combine like terms: -0.12b + 0.12b = 0.00 0.8a + 0.00 = 0 + 0.12b 0.8a = 0 + 0.12b Remove the zero: 0.8a = 0.12b Divide each side by '0.8'. a = 0.15b Simplifying a = 0.15b
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