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Simplifying 8a + -9a + 3a + -7a = 5a + 3 + 6a + 15 Combine like terms: 8a + -9a = -1a -1a + 3a + -7a = 5a + 3 + 6a + 15 Combine like terms: -1a + 3a = 2a 2a + -7a = 5a + 3 + 6a + 15 Combine like terms: 2a + -7a = -5a -5a = 5a + 3 + 6a + 15 Reorder the terms: -5a = 3 + 15 + 5a + 6a Combine like terms: 3 + 15 = 18 -5a = 18 + 5a + 6a Combine like terms: 5a + 6a = 11a -5a = 18 + 11a Solving -5a = 18 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -5a + -11a = 18 + 11a + -11a Combine like terms: -5a + -11a = -16a -16a = 18 + 11a + -11a Combine like terms: 11a + -11a = 0 -16a = 18 + 0 -16a = 18 Divide each side by '-16'. a = -1.125 Simplifying a = -1.125
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