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Simplifying 9(5a + 13) = 6a + 15 Reorder the terms: 9(13 + 5a) = 6a + 15 (13 * 9 + 5a * 9) = 6a + 15 (117 + 45a) = 6a + 15 Reorder the terms: 117 + 45a = 15 + 6a Solving 117 + 45a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 117 + 45a + -6a = 15 + 6a + -6a Combine like terms: 45a + -6a = 39a 117 + 39a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 117 + 39a = 15 + 0 117 + 39a = 15 Add '-117' to each side of the equation. 117 + -117 + 39a = 15 + -117 Combine like terms: 117 + -117 = 0 0 + 39a = 15 + -117 39a = 15 + -117 Combine like terms: 15 + -117 = -102 39a = -102 Divide each side by '39'. a = -2.615384615 Simplifying a = -2.615384615
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