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Simplifying 9(a + 5) + -7(a + -3) = 0 Reorder the terms: 9(5 + a) + -7(a + -3) = 0 (5 * 9 + a * 9) + -7(a + -3) = 0 (45 + 9a) + -7(a + -3) = 0 Reorder the terms: 45 + 9a + -7(-3 + a) = 0 45 + 9a + (-3 * -7 + a * -7) = 0 45 + 9a + (21 + -7a) = 0 Reorder the terms: 45 + 21 + 9a + -7a = 0 Combine like terms: 45 + 21 = 66 66 + 9a + -7a = 0 Combine like terms: 9a + -7a = 2a 66 + 2a = 0 Solving 66 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-66' to each side of the equation. 66 + -66 + 2a = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 2a = 0 + -66 2a = 0 + -66 Combine like terms: 0 + -66 = -66 2a = -66 Divide each side by '2'. a = -33 Simplifying a = -33
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