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Simplifying 13a + -1(4b + -3)(5 + -2b) = 0 Reorder the terms: 13a + -1(-3 + 4b)(5 + -2b) = 0 Multiply (-3 + 4b) * (5 + -2b) 13a + -1(-3(5 + -2b) + 4b * (5 + -2b)) = 0 13a + -1((5 * -3 + -2b * -3) + 4b * (5 + -2b)) = 0 13a + -1((-15 + 6b) + 4b * (5 + -2b)) = 0 13a + -1(-15 + 6b + (5 * 4b + -2b * 4b)) = 0 13a + -1(-15 + 6b + (20b + -8b2)) = 0 Combine like terms: 6b + 20b = 26b 13a + -1(-15 + 26b + -8b2) = 0 13a + (-15 * -1 + 26b * -1 + -8b2 * -1) = 0 13a + (15 + -26b + 8b2) = 0 Reorder the terms: 15 + 13a + -26b + 8b2 = 0 Solving 15 + 13a + -26b + 8b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 13a + -26b + -15 + 8b2 = 0 + -15 Reorder the terms: 15 + -15 + 13a + -26b + 8b2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 13a + -26b + 8b2 = 0 + -15 13a + -26b + 8b2 = 0 + -15 Combine like terms: 0 + -15 = -15 13a + -26b + 8b2 = -15 Add '26b' to each side of the equation. 13a + -26b + 26b + 8b2 = -15 + 26b Combine like terms: -26b + 26b = 0 13a + 0 + 8b2 = -15 + 26b 13a + 8b2 = -15 + 26b Add '-8b2' to each side of the equation. 13a + 8b2 + -8b2 = -15 + 26b + -8b2 Combine like terms: 8b2 + -8b2 = 0 13a + 0 = -15 + 26b + -8b2 13a = -15 + 26b + -8b2 Divide each side by '13'. a = -1.153846154 + 2b + -0.6153846154b2 Simplifying a = -1.153846154 + 2b + -0.6153846154b2
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