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Simplifying (0.13a + -500) + 0.16b = 399 Reorder the terms: (-500 + 0.13a) + 0.16b = 399 Remove parenthesis around (-500 + 0.13a) -500 + 0.13a + 0.16b = 399 Solving -500 + 0.13a + 0.16b = 399 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '500' to each side of the equation. -500 + 0.13a + 500 + 0.16b = 399 + 500 Reorder the terms: -500 + 500 + 0.13a + 0.16b = 399 + 500 Combine like terms: -500 + 500 = 0 0 + 0.13a + 0.16b = 399 + 500 0.13a + 0.16b = 399 + 500 Combine like terms: 399 + 500 = 899 0.13a + 0.16b = 899 Add '-0.16b' to each side of the equation. 0.13a + 0.16b + -0.16b = 899 + -0.16b Combine like terms: 0.16b + -0.16b = 0.00 0.13a + 0.00 = 899 + -0.16b 0.13a = 899 + -0.16b Divide each side by '0.13'. a = 6915.384615 + -1.230769231b Simplifying a = 6915.384615 + -1.230769231b
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