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Simplifying 9(7a + 10) + -1(7a + -5) = 0 Reorder the terms: 9(10 + 7a) + -1(7a + -5) = 0 (10 * 9 + 7a * 9) + -1(7a + -5) = 0 (90 + 63a) + -1(7a + -5) = 0 Reorder the terms: 90 + 63a + -1(-5 + 7a) = 0 90 + 63a + (-5 * -1 + 7a * -1) = 0 90 + 63a + (5 + -7a) = 0 Reorder the terms: 90 + 5 + 63a + -7a = 0 Combine like terms: 90 + 5 = 95 95 + 63a + -7a = 0 Combine like terms: 63a + -7a = 56a 95 + 56a = 0 Solving 95 + 56a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 56a = 0 + -95 Combine like terms: 95 + -95 = 0 0 + 56a = 0 + -95 56a = 0 + -95 Combine like terms: 0 + -95 = -95 56a = -95 Divide each side by '56'. a = -1.696428571 Simplifying a = -1.696428571
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