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Simplifying 8a + -9 + 3a + -7a = 5a + 3 + 6a + 15 Reorder the terms: -9 + 8a + 3a + -7a = 5a + 3 + 6a + 15 Combine like terms: 8a + 3a = 11a -9 + 11a + -7a = 5a + 3 + 6a + 15 Combine like terms: 11a + -7a = 4a -9 + 4a = 5a + 3 + 6a + 15 Reorder the terms: -9 + 4a = 3 + 15 + 5a + 6a Combine like terms: 3 + 15 = 18 -9 + 4a = 18 + 5a + 6a Combine like terms: 5a + 6a = 11a -9 + 4a = 18 + 11a Solving -9 + 4a = 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. -9 + 4a + -11a = 18 + 11a + -11a Combine like terms: 4a + -11a = -7a -9 + -7a = 18 + 11a + -11a Combine like terms: 11a + -11a = 0 -9 + -7a = 18 + 0 -9 + -7a = 18 Add '9' to each side of the equation. -9 + 9 + -7a = 18 + 9 Combine like terms: -9 + 9 = 0 0 + -7a = 18 + 9 -7a = 18 + 9 Combine like terms: 18 + 9 = 27 -7a = 27 Divide each side by '-7'. a = -3.857142857 Simplifying a = -3.857142857
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