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Simplifying a + 2(7b + 5 + 9a) + -5b = 0 Reorder the terms: a + 2(5 + 9a + 7b) + -5b = 0 a + (5 * 2 + 9a * 2 + 7b * 2) + -5b = 0 a + (10 + 18a + 14b) + -5b = 0 Reorder the terms: 10 + a + 18a + 14b + -5b = 0 Combine like terms: a + 18a = 19a 10 + 19a + 14b + -5b = 0 Combine like terms: 14b + -5b = 9b 10 + 19a + 9b = 0 Solving 10 + 19a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 19a + -10 + 9b = 0 + -10 Reorder the terms: 10 + -10 + 19a + 9b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 19a + 9b = 0 + -10 19a + 9b = 0 + -10 Combine like terms: 0 + -10 = -10 19a + 9b = -10 Add '-9b' to each side of the equation. 19a + 9b + -9b = -10 + -9b Combine like terms: 9b + -9b = 0 19a + 0 = -10 + -9b 19a = -10 + -9b Divide each side by '19'. a = -0.5263157895 + -0.4736842105b Simplifying a = -0.5263157895 + -0.4736842105b
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