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Simplifying 7(a + 9) + -1(a + 7) = 24 Reorder the terms: 7(9 + a) + -1(a + 7) = 24 (9 * 7 + a * 7) + -1(a + 7) = 24 (63 + 7a) + -1(a + 7) = 24 Reorder the terms: 63 + 7a + -1(7 + a) = 24 63 + 7a + (7 * -1 + a * -1) = 24 63 + 7a + (-7 + -1a) = 24 Reorder the terms: 63 + -7 + 7a + -1a = 24 Combine like terms: 63 + -7 = 56 56 + 7a + -1a = 24 Combine like terms: 7a + -1a = 6a 56 + 6a = 24 Solving 56 + 6a = 24 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 6a = 24 + -56 Combine like terms: 56 + -56 = 0 0 + 6a = 24 + -56 6a = 24 + -56 Combine like terms: 24 + -56 = -32 6a = -32 Divide each side by '6'. a = -5.333333333 Simplifying a = -5.333333333
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