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Simplifying 5a + 8 + 9a = 6a + -4a Reorder the terms: 8 + 5a + 9a = 6a + -4a Combine like terms: 5a + 9a = 14a 8 + 14a = 6a + -4a Combine like terms: 6a + -4a = 2a 8 + 14a = 2a Solving 8 + 14a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + 14a + -2a = 2a + -2a Combine like terms: 14a + -2a = 12a 8 + 12a = 2a + -2a Combine like terms: 2a + -2a = 0 8 + 12a = 0 Add '-8' to each side of the equation. 8 + -8 + 12a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12a = 0 + -8 12a = 0 + -8 Combine like terms: 0 + -8 = -8 12a = -8 Divide each side by '12'. a = -0.6666666667 Simplifying a = -0.6666666667
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