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Simplifying 5(5 + 5a) + -1(6a + -5) = 19 (5 * 5 + 5a * 5) + -1(6a + -5) = 19 (25 + 25a) + -1(6a + -5) = 19 Reorder the terms: 25 + 25a + -1(-5 + 6a) = 19 25 + 25a + (-5 * -1 + 6a * -1) = 19 25 + 25a + (5 + -6a) = 19 Reorder the terms: 25 + 5 + 25a + -6a = 19 Combine like terms: 25 + 5 = 30 30 + 25a + -6a = 19 Combine like terms: 25a + -6a = 19a 30 + 19a = 19 Solving 30 + 19a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 19a = 19 + -30 Combine like terms: 30 + -30 = 0 0 + 19a = 19 + -30 19a = 19 + -30 Combine like terms: 19 + -30 = -11 19a = -11 Divide each side by '19'. a = -0.5789473684 Simplifying a = -0.5789473684
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