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Simplifying 11a + -6a = 4(10a + 7) + -15(15 + -3a) Combine like terms: 11a + -6a = 5a 5a = 4(10a + 7) + -15(15 + -3a) Reorder the terms: 5a = 4(7 + 10a) + -15(15 + -3a) 5a = (7 * 4 + 10a * 4) + -15(15 + -3a) 5a = (28 + 40a) + -15(15 + -3a) 5a = 28 + 40a + (15 * -15 + -3a * -15) 5a = 28 + 40a + (-225 + 45a) Reorder the terms: 5a = 28 + -225 + 40a + 45a Combine like terms: 28 + -225 = -197 5a = -197 + 40a + 45a Combine like terms: 40a + 45a = 85a 5a = -197 + 85a Solving 5a = -197 + 85a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-85a' to each side of the equation. 5a + -85a = -197 + 85a + -85a Combine like terms: 5a + -85a = -80a -80a = -197 + 85a + -85a Combine like terms: 85a + -85a = 0 -80a = -197 + 0 -80a = -197 Divide each side by '-80'. a = 2.4625 Simplifying a = 2.4625
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