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Simplifying 7(12 + -5a) + (-8)(7a + -5) + 15a = 0 (12 * 7 + -5a * 7) + (-8)(7a + -5) + 15a = 0 (84 + -35a) + (-8)(7a + -5) + 15a = 0 Reorder the terms: 84 + -35a + -8(-5 + 7a) + 15a = 0 84 + -35a + (-5 * -8 + 7a * -8) + 15a = 0 84 + -35a + (40 + -56a) + 15a = 0 Reorder the terms: 84 + 40 + -35a + -56a + 15a = 0 Combine like terms: 84 + 40 = 124 124 + -35a + -56a + 15a = 0 Combine like terms: -35a + -56a = -91a 124 + -91a + 15a = 0 Combine like terms: -91a + 15a = -76a 124 + -76a = 0 Solving 124 + -76a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-124' to each side of the equation. 124 + -124 + -76a = 0 + -124 Combine like terms: 124 + -124 = 0 0 + -76a = 0 + -124 -76a = 0 + -124 Combine like terms: 0 + -124 = -124 -76a = -124 Divide each side by '-76'. a = 1.631578947 Simplifying a = 1.631578947
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