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Simplifying a = 3(8 + a) + -5(3 + -1a) a = (8 * 3 + a * 3) + -5(3 + -1a) a = (24 + 3a) + -5(3 + -1a) a = 24 + 3a + (3 * -5 + -1a * -5) a = 24 + 3a + (-15 + 5a) Reorder the terms: a = 24 + -15 + 3a + 5a Combine like terms: 24 + -15 = 9 a = 9 + 3a + 5a Combine like terms: 3a + 5a = 8a a = 9 + 8a Solving a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. a + -8a = 9 + 8a + -8a Combine like terms: a + -8a = -7a -7a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 -7a = 9 + 0 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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